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157110431160 = 23356919072089
BaseRepresentation
bin1001001001010010000…
…0101110110110111000
3120000112021222211201210
42102110200232312320
510033230232244120
6200101525443120
714231225426154
oct2222440566670
9500467884653
10157110431160
11606a2819341
1226547b704a0
1311a7a70ba87
147865c56064
154147e5dce0
hex249482edb8

157110431160 has 128 divisors (see below), whose sum is σ = 472760006400. Its totient is φ = 41769354240.

The previous prime is 157110431147. The next prime is 157110431189. The reversal of 157110431160 is 61134011751.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75207396 + ... + 75209484.

It is an arithmetic number, because the mean of its divisors is an integer number (3693437550).

Almost surely, 2157110431160 is an apocalyptic number.

157110431160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157110431160 is an abundant number, since it is smaller than the sum of its proper divisors (315649575240).

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

157110431160 is a wasteful number, since it uses less digits than its factorization.

157110431160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 157110431160 in words is "one hundred fifty-seven billion, one hundred ten million, four hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 691 907 1382 1814 2073 2089 2721 2764 3455 3628 4146 4178 4535 5442 5528 6267 6910 7256 8292 8356 9070 10365 10445 10884 12534 13605 13820 16584 16712 18140 20730 20890 21768 25068 27210 27640 31335 36280 41460 41780 50136 54420 62670 82920 83560 108840 125340 250680 626737 1253474 1443499 1880211 1894723 2506948 2886998 3133685 3760422 3789446 4330497 5013896 5684169 5773996 6267370 7217495 7520844 7578892 8660994 9401055 9473615 11368338 11547992 12534740 14434990 15041688 15157784 17321988 18802110 18947230 21652485 22736676 25069480 28420845 28869980 34643976 37604220 37894460 43304970 45473352 56841690 57739960 75208440 75788920 86609940 113683380 173219880 227366760 1309253593 2618507186 3927760779 5237014372 6546267965 7855521558 10474028744 13092535930 15711043116 19638803895 26185071860 31422086232 39277607790 52370143720 78555215580 157110431160