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157163112 = 233347113137
BaseRepresentation
bin10010101111000…
…01111001101000
3101221201201021000
421113201321220
5310213204422
623332315000
73615602331
oct1127417150
9357651230
10157163112
1180794a77
1244772a60
1326739432
1416c31288
15dbe6cac
hex95e1e68

157163112 has 128 divisors (see below), whose sum is σ = 453081600. Its totient is φ = 50448384.

The previous prime is 157163107. The next prime is 157163119. The reversal of 157163112 is 211361751.

157163112 is a `hidden beast` number, since 15 + 7 + 1 + 631 + 12 = 666.

157163112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (157163119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147108 + ... + 1147244.

It is an arithmetic number, because the mean of its divisors is an integer number (3539700).

Almost surely, 2157163112 is an apocalyptic number.

157163112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157163112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226540800).

157163112 is an abundant number, since it is smaller than the sum of its proper divisors (295918488).

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

157163112 is a wasteful number, since it uses less digits than its factorization.

157163112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 157163112 is about 12536.4712738474. The cubic root of 157163112 is about 539.6558300720.

The spelling of 157163112 in words is "one hundred fifty-seven million, one hundred sixty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 113 137 141 188 216 226 274 282 339 376 411 423 452 548 564 678 822 846 904 1017 1096 1128 1233 1269 1356 1644 1692 2034 2466 2538 2712 3051 3288 3384 3699 4068 4932 5076 5311 6102 6439 7398 8136 9864 10152 10622 12204 12878 14796 15481 15933 19317 21244 24408 25756 29592 30962 31866 38634 42488 46443 47799 51512 57951 61924 63732 77268 92886 95598 115902 123848 127464 139329 143397 154536 173853 185772 191196 231804 278658 286794 347706 371544 382392 417987 463608 557316 573588 695412 727607 835974 1114632 1147176 1390824 1455214 1671948 2182821 2910428 3343896 4365642 5820856 6548463 8731284 13096926 17462568 19645389 26193852 39290778 52387704 78581556 157163112