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157112568 = 23334631571
BaseRepresentation
bin10010101110101…
…01100011111000
3101221122010221000
421113111203320
5310210100233
623331245000
73615302064
oct1127254370
9357563830
10157112568
118075aaa8
1244749760
132671c422
1416c1aaa4
15dbd6d13
hex95d58f8

157112568 has 64 divisors (see below), whose sum is σ = 437644800. Its totient is φ = 52224480.

The previous prime is 157112567. The next prime is 157112573. The reversal of 157112568 is 865211751.

157112568 is a `hidden beast` number, since 1 + 571 + 1 + 25 + 68 = 666.

157112568 is digitally balanced in base 3, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157112561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99223 + ... + 100793.

It is an arithmetic number, because the mean of its divisors is an integer number (6838200).

Almost surely, 2157112568 is an apocalyptic number.

157112568 is a gapful number since it is divisible by the number (18) 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 157112568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218822400).

157112568 is an abundant number, since it is smaller than the sum of its proper divisors (280532232).

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

157112568 is a wasteful number, since it uses less digits than its factorization.

157112568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2039 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 157112568 is about 12534.4552334754. The cubic root of 157112568 is about 539.5979723714.

The spelling of 157112568 in words is "one hundred fifty-seven million, one hundred twelve thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 463 926 1389 1571 1852 2778 3142 3704 4167 4713 5556 6284 8334 9426 11112 12501 12568 14139 16668 18852 25002 28278 33336 37704 42417 50004 56556 84834 100008 113112 169668 339336 727373 1454746 2182119 2909492 4364238 5818984 6546357 8728476 13092714 17456952 19639071 26185428 39278142 52370856 78556284 157112568