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12625396641 = 331121331759
BaseRepresentation
bin10111100001000100…
…00100001110100001
31012120212220121021000
423300202010032201
5201324100143031
65444450022213
7624604046364
oct136042041641
935525817230
1012625396641
115399786400
122544277969
1312628b3000
1487aad60db
154dd6083e6
hex2f08843a1

12625396641 has 96 divisors (see below), whose sum is σ = 22284416000. Its totient is φ = 7059143520.

The previous prime is 12625396603. The next prime is 12625396657. The reversal of 12625396641 is 14669352621.

12625396641 is a `hidden beast` number, since 12 + 6 + 2 + 539 + 66 + 41 = 666.

It is not a de Polignac number, because 12625396641 - 213 = 12625388449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12625392641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7176720 + ... + 7178478.

Almost surely, 212625396641 is an apocalyptic number.

12625396641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12625396641 is a deficient number, since it is larger than the sum of its proper divisors (9659019359).

12625396641 is a wasteful number, since it uses less digits than its factorization.

12625396641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1786 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 12625396641 in words is "twelve billion, six hundred twenty-five million, three hundred ninety-six thousand, six hundred forty-one".

Divisors: 1 3 9 11 13 27 33 39 99 117 121 143 169 297 351 363 429 507 1089 1287 1521 1573 1759 1859 2197 3267 3861 4563 4719 5277 5577 6591 14157 15831 16731 19349 19773 20449 22867 24167 42471 47493 50193 58047 59319 61347 68601 72501 174141 184041 205803 212839 217503 251537 265837 297271 522423 552123 617409 638517 652509 754611 797511 891813 1915551 2263833 2392533 2675439 2766907 3269981 3864523 5746653 6791499 7177599 8026317 8300721 9809943 11593569 24902163 29429829 34780707 35969791 42509753 74706489 88289487 104342121 107909373 127529259 323728119 382587777 467607283 971184357 1147763331 1402821849 4208465547 12625396641