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137504059389 = 32312433311117
BaseRepresentation
bin1000000000001111100…
…0010110111111111101
3111010220220010221220100
42000003320112333331
54223102014400024
6143100221111313
712635323135344
oct2000370267775
9433826127810
10137504059389
1153351503004
12227959b8539
13cc74754468
146925d56b5b
15389ba487c9
hex2003e16ffd

137504059389 has 72 divisors (see below), whose sum is σ = 210826483296. Its totient is φ = 86310100800.

The previous prime is 137504059387. The next prime is 137504059393. The reversal of 137504059389 is 983950405731.

137504059389 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 0 + 40 + 593 + 8 + 9 = 666.

It is not a de Polignac number, because 137504059389 - 21 = 137504059387 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137504059387) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123100659 + ... + 123101775.

Almost surely, 2137504059389 is an apocalyptic number.

It is an amenable number.

137504059389 is a deficient number, since it is larger than the sum of its proper divisors (73322423907).

137504059389 is a wasteful number, since it uses less digits than its factorization.

137504059389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 137504059389 in words is "one hundred thirty-seven billion, five hundred four million, fifty-nine thousand, three hundred eighty-nine".

Divisors: 1 3 9 31 43 93 129 279 331 387 961 993 1117 1333 2883 2979 3351 3999 8649 10053 10261 11997 14233 30783 34627 41323 42699 48031 92349 103881 123969 128097 144093 311643 318091 369727 371907 432279 441223 954273 1073437 1109181 1323669 1488961 2862819 3220311 3327543 3971007 4466883 9660933 11461537 13400649 13677913 15898261 34384611 41033739 46157791 47694783 103153833 123101217 138473373 143084349 355307647 415420119 492846091 1065922941 1478538273 3197768823 4435614819 15278228821 45834686463 137504059389