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12725695872 = 273218161031
BaseRepresentation
bin10111101101000001…
…01011010110000000
31012211212122022221100
423312200223112000
5202030234231442
65502431454400
7630232426101
oct136640532600
935755568840
1012725695872
11544036172a
122571987400
13127a5cca76
1488a1643a8
154e731b84c
hex2f682b580

12725695872 has 96 divisors (see below), whose sum is σ = 36822436560. Its totient is φ = 4218393600.

The previous prime is 12725695861. The next prime is 12725695901. The reversal of 12725695872 is 27859652721.

12725695872 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 56 + 9 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177997 + ... + 239027.

Almost surely, 212725695872 is an apocalyptic number.

12725695872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12725695872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18411218280).

12725695872 is an abundant number, since it is smaller than the sum of its proper divisors (24096740688).

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

12725695872 is a wasteful number, since it uses less digits than its factorization.

12725695872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61232 (or 61217 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 12725695872 in words is "twelve billion, seven hundred twenty-five million, six hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 288 362 384 543 576 724 1086 1152 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 23168 26064 34752 52128 61031 69504 104256 122062 183093 208512 244124 366186 488248 549279 732372 976496 1098558 1464744 1952992 2197116 2929488 3905984 4394232 5858976 7811968 8788464 11046611 11717952 17576928 22093222 23435904 33139833 35153856 44186444 66279666 70307712 88372888 99419499 132559332 176745776 198838998 265118664 353491552 397677996 530237328 706983104 795355992 1060474656 1413966208 1590711984 2120949312 3181423968 4241898624 6362847936 12725695872