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138607992513918 = 23224156356753197
BaseRepresentation
bin11111100001000000110000…
…001010000010010101111110
3200011202210110022120112001100
4133201000300022002111332
5121131423132040421133
61210443344355353530
741124045160626624
oct3741006012022576
9604683408515040
10138607992513918
114018a3572a8a64
12136671a82b28a6
135c458a6928405
14263293c39b514
1511057a2d98e13
hex7e103028257e

138607992513918 has 48 divisors (see below), whose sum is σ = 302099089056336. Its totient is φ = 45929226458880.

The previous prime is 138607992513869. The next prime is 138607992513929. The reversal of 138607992513918 is 819315299706831.

138607992513918 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 0 + 7 + 9 + 92 + 513 + 9 + 18 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25934305 + ... + 30818892.

It is an arithmetic number, because the mean of its divisors is an integer number (6293731022007).

Almost surely, 2138607992513918 is an apocalyptic number.

138607992513918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

138607992513918 is an abundant number, since it is smaller than the sum of its proper divisors (163491096542418).

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

138607992513918 is a wasteful number, since it uses less digits than its factorization.

138607992513918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56754009 (or 56754006 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 138607992513918 in words is "one hundred thirty-eight trillion, six hundred seven billion, nine hundred ninety-two million, five hundred thirteen thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 241 482 563 723 1126 1446 1689 2169 3378 4338 5067 10134 135683 271366 407049 814098 1221147 2442294 56753197 113506394 170259591 340519182 510778773 1021557546 13677520477 27355040954 31952049911 41032561431 63904099822 82065122862 95856149733 123097684293 191712299466 246195368586 287568449199 575136898398 7700444028551 15400888057102 23101332085653 46202664171306 69303996256959 138607992513918