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152172750960 = 243252950314489
BaseRepresentation
bin1000110110111000110…
…0111110100001110000
3112112210011212200212100
42031232030332201300
54443122211012320
6153523542100400
713664661020106
oct2155614764160
9475704780770
10152172750960
11595996070aa
12255aa41a700
1311471760009
147518177c76
153e59717790
hex236e33e870

152172750960 has 240 divisors, whose sum is σ = 529756718400. Its totient is φ = 39099518976.

The previous prime is 152172750937. The next prime is 152172750967. The reversal of 152172750960 is 69057271251.

152172750960 is a `hidden beast` number, since 1 + 52 + 17 + 27 + 509 + 60 = 666.

152172750960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1521727509602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152172750967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10495396 + ... + 10509884.

It is an arithmetic number, because the mean of its divisors is an integer number (2207319660).

Almost surely, 2152172750960 is an apocalyptic number.

152172750960 is a gapful number since it is divisible by the number (10) 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 152172750960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264878359200).

152172750960 is an abundant number, since it is smaller than the sum of its proper divisors (377583967440).

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

152172750960 is a wasteful number, since it uses less digits than its factorization.

152172750960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15040 (or 15031 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 152172750960 in words is "one hundred fifty-two billion, one hundred seventy-two million, seven hundred fifty thousand, nine hundred sixty".