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157660750431 = 3337593078713
BaseRepresentation
bin1001001011010101010…
…0000010001001011111
3120001221122111221212000
42102311110002021133
510040342123003211
6200232305013343
714250660160422
oct2226524021137
9501848457760
10157660750431
1160955424358
1226680324253
1311b37731692
1478b8d899b9
15417b416656
hex24b550225f

157660750431 has 64 divisors (see below), whose sum is σ = 244772774400. Its totient is φ = 100194133248.

The previous prime is 157660750361. The next prime is 157660750441. The reversal of 157660750431 is 134057066751.

157660750431 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 607 + 5 + 0 + 4 + 31 = 666.

It is not a de Polignac number, because 157660750431 - 29 = 157660749919 is a prime.

It is a super-2 number, since 2×1576607504312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157660750441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18090531 + ... + 18099243.

It is an arithmetic number, because the mean of its divisors is an integer number (3824574600).

Almost surely, 2157660750431 is an apocalyptic number.

157660750431 is a deficient number, since it is larger than the sum of its proper divisors (87112023969).

157660750431 is a wasteful number, since it uses less digits than its factorization.

157660750431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 157660750431 in words is "one hundred fifty-seven billion, six hundred sixty million, seven hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 37 59 111 177 307 333 531 921 999 1593 2183 2763 6549 8289 8713 11359 18113 19647 26139 34077 54339 58941 78417 102231 163017 235251 306693 322381 489051 514067 670181 967143 1542201 2010543 2674891 2901429 4626603 6031629 8024673 8704287 13879809 18094887 19020479 24074019 57061437 72222057 98970967 157818569 171184311 296912901 473455707 513552933 890738703 1420367121 2672216109 4261101363 5839287053 17517861159 52553583477 157660750431