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14997138957 = 3319416111689
BaseRepresentation
bin11011111011110011…
…00010111000001101
31102201011202121002000
431331321202320031
5221203231421312
610520052422513
71040433402123
oct157571427015
942634677060
1014997138957
1163a6548519
122aa6617a39
131550086a28
14a23abb913
155cb94badc
hex37de62e0d

14997138957 has 64 divisors (see below), whose sum is σ = 24352608000. Its totient is φ = 9088588800.

The previous prime is 14997138953. The next prime is 14997139007. The reversal of 14997138957 is 75983179941.

14997138957 is a `hidden beast` number, since 1 + 499 + 7 + 13 + 89 + 57 = 666.

It is not a de Polignac number, because 14997138957 - 22 = 14997138953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14997138894 and 14997138903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14997138953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1277169 + ... + 1288857.

It is an arithmetic number, because the mean of its divisors is an integer number (380509500).

Almost surely, 214997138957 is an apocalyptic number.

It is an amenable number.

14997138957 is a deficient number, since it is larger than the sum of its proper divisors (9355469043).

14997138957 is a wasteful number, since it uses less digits than its factorization.

14997138957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11819 (or 11813 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 14997138957 in words is "fourteen billion, nine hundred ninety-seven million, one hundred thirty-eight thousand, nine hundred fifty-seven".

Divisors: 1 3 9 19 27 41 57 61 123 171 183 369 513 549 779 1107 1159 1647 2337 2501 3477 7011 7503 10431 11689 21033 22509 31293 35067 47519 67527 105201 142557 222091 315603 427671 479249 666273 713029 1283013 1437747 1998819 2139087 4313241 5996457 6417261 9105731 12939723 13547551 19251783 27317193 29234189 40642653 81951579 87702567 121927959 245854737 263107701 365783877 555449591 789323103 1666348773 4999046319 14997138957