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12707921376 = 253244124727
BaseRepresentation
bin10111101010111001…
…10111110111100000
31012210122012021220200
423311130313313200
5202011211441001
65500554505200
7626625356313
oct136534676740
935718167820
1012707921376
115431321467
122567a35200
131276a18607
14887a5897a
154e59aa086
hex2f5737de0

12707921376 has 36 divisors (see below), whose sum is σ = 36138152232. Its totient is φ = 4235973696.

The previous prime is 12707921329. The next prime is 12707921393. The reversal of 12707921376 is 67312970721.

12707921376 is a `hidden beast` number, since 1 + 270 + 7 + 9 + 2 + 1 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×127079213762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 22062076 + ... + 22062651.

It is an arithmetic number, because the mean of its divisors is an integer number (1003837562).

Almost surely, 212707921376 is an apocalyptic number.

12707921376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12707921376 is an abundant number, since it is smaller than the sum of its proper divisors (23430230856).

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

12707921376 is a wasteful number, since it uses less digits than its factorization.

12707921376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44124743 (or 44124732 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 12707921376 in words is "twelve billion, seven hundred seven million, nine hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44124727 88249454 132374181 176498908 264748362 352997816 397122543 529496724 705995632 794245086 1058993448 1411991264 1588490172 2117986896 3176980344 4235973792 6353960688 12707921376