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165104205156 = 2232111767389941
BaseRepresentation
bin1001100111000011111…
…0100011110101100100
3120210011101200122011100
42121300332203311210
510201113134031111
6203503044040100
714633302405542
oct2316076436544
9523141618140
10165104205156
1164025024030
1227bb9093030
1312752882067
147dc377cd92
154464b29756
hex2670fa3d64

165104205156 has 288 divisors, whose sum is σ = 491043047040. Its totient is φ = 46217318400.

The previous prime is 165104205127. The next prime is 165104205239. The reversal of 165104205156 is 651502401561.

165104205156 is a `hidden beast` number, since 1 + 6 + 510 + 42 + 0 + 51 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 165104205156.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175455646 + ... + 175456586.

It is an arithmetic number, because the mean of its divisors is an integer number (1705010580).

Almost surely, 2165104205156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165104205156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245521523520).

165104205156 is an abundant number, since it is smaller than the sum of its proper divisors (325938841884).

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

165104205156 is a wasteful number, since it uses less digits than its factorization.

165104205156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 165104205156 in words is "one hundred sixty-five billion, one hundred four million, two hundred five thousand, one hundred fifty-six".