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12639587904 = 263221943729
BaseRepresentation
bin10111100010110000…
…01100111001000000
31012121212121121000100
423301120030321000
5201341213303104
65450114122400
7625135503336
oct136130147100
935555547010
1012639587904
1153a6799519
122548b80400
1312658114c8
1487c94bb56
154de9ad139
hex2f160ce40

12639587904 has 42 divisors (see below), whose sum is σ = 36229098230. Its totient is φ = 4213195776.

The previous prime is 12639587897. The next prime is 12639587927. The reversal of 12639587904 is 40978593621.

12639587904 is a `hidden beast` number, since 1 + 26 + 39 + 587 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11431886400 + 1207701504 = 106920^2 + 34752^2 .

It is a super-2 number, since 2×126395879042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10971289 + ... + 10972440.

It is a 1-persistent number, because it is pandigital, but 2⋅12639587904 = 25279175808 is not.

Almost surely, 212639587904 is an apocalyptic number.

It is an amenable number.

12639587904 is an abundant number, since it is smaller than the sum of its proper divisors (23589510326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12639587904 is a wasteful number, since it uses less digits than its factorization.

12639587904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21943747 (or 21943734 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12639587904 in words is "twelve billion, six hundred thirty-nine million, five hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 21943729 43887458 65831187 87774916 131662374 175549832 197493561 263324748 351099664 394987122 526649496 702199328 789974244 1053298992 1404398656 1579948488 2106597984 3159896976 4213195968 6319793952 12639587904