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・ 653d Aircraft Control and Warning Squadron
・ 653d Bombardment Squadron
・ 653d Electronic Systems Wing
・ 653rd Heavy Panzerjäger Battalion
・ 654
・ 654 BC
・ 654 Zelinda
・ 6546 Kaye
・ 65489 Ceto
・ 655
・ 655 BC
・ 655 Briseïs
・ 6550
・ 655321
・ 65535 (number)
65536 (number)
・ 65537 (number)
・ 65537-gon
・ 6555th Aerospace Test Group
・ 656
・ 656 BC
・ 656 Beagle
・ 6566 Shafter
・ 656th Bombardment Squadron
・ 657
・ 657 BC
・ 657 Gunlöd
・ 657th Bombardment Squadron
・ 658
・ 658 Asteria


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65536 (number) : ウィキペディア英語版
65536 (number)

65536 is the natural number following 65535 and preceding 65537.
65536 is a power of two: 2^ (2 to the 16th power).
65536 is the smallest number with ''exactly'' 17 divisors.〔Sequence in OEIS
== In mathematics ==
65536 is 2^, so in tetration notation 65536 is ^42.
When expressed using Knuth's up-arrow notation, 65536 is

2 \uparrow 16
,
which is equal to

2 \uparrow 2 \uparrow 2 \uparrow 2
,
which is equivalent to

2 \uparrow\uparrow 4

or

2 \uparrow\uparrow\uparrow 3
.
65536 is a superperfect number - a number such that σ(σ(''n''))=2''n''.
A 16-bit number can distinguish 65536 different possibilities, such as the numbers 0..65535. In unsigned binary notation, 65536 is thus the smallest number that can ''not'' be represented by 16 bits.
65536 is the only power of 2 less than 231000 that does not contain the digits 1, 2, 4 or 8 in its decimal representation.
65536 is the largest known number such that the sum of its unitary divisors is prime (1 + 65536 = 65537, which is prime).〔(65536 ) at Prime Pages

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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