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157085064 = 23322181737
BaseRepresentation
bin10010101110011…
…10110110001000
3101221120202012100
421113032312020
5310203210224
623330513400
73615125643
oct1127166610
9357522170
10157085064
1180741374
1244735860
132670ca56
1416c10a5a
15dbcdac9
hex95ced88

157085064 has 24 divisors (see below), whose sum is σ = 425438910. Its totient is φ = 52361664.

The previous prime is 157085059. The next prime is 157085077. The reversal of 157085064 is 460580751.

157085064 is a `hidden beast` number, since 1 + 570 + 85 + 0 + 6 + 4 = 666.

157085064 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 130644900 + 26440164 = 11430^2 + 5142^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1090797 + ... + 1090940.

Almost surely, 2157085064 is an apocalyptic number.

It is an amenable number.

157085064 is an abundant number, since it is smaller than the sum of its proper divisors (268353846).

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

157085064 is a wasteful number, since it uses less digits than its factorization.

157085064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181749 (or 2181742 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 157085064 is about 12533.3580496210. The cubic root of 157085064 is about 539.5664833379.

The spelling of 157085064 in words is "one hundred fifty-seven million, eighty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2181737 4363474 6545211 8726948 13090422 17453896 19635633 26180844 39271266 52361688 78542532 157085064