Search a number
-
+
76572307613120 = 26511431932621219
BaseRepresentation
bin10001011010010001100001…
…001100011110010111000000
3101001010020111202220100220112
4101122101201030132113000
540014030041222104440
6430504455452530452
722062111110423354
oct2132214114362700
9331106452810815
1076572307613120
1122442151458a20
128708286a80a28
13339597873b357
1414ca195b41464
158cbc4c599965
hex45a46131e5c0

76572307613120 has 224 divisors, whose sum is σ = 204594566964480. Its totient is φ = 27056002498560.

The previous prime is 76572307613107. The next prime is 76572307613141. The reversal of 76572307613120 is 2131670327567.

It is a super-2 number, since 2×765723076131202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27901871 + ... + 30523089.

It is an arithmetic number, because the mean of its divisors is an integer number (913368602520).

Almost surely, 276572307613120 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 76572307613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102297283482240).

76572307613120 is an abundant number, since it is smaller than the sum of its proper divisors (128022259351360).

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

76572307613120 is a wasteful number, since it uses less digits than its factorization.

76572307613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621483 (or 2621473 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 50.

The spelling of 76572307613120 in words is "seventy-six trillion, five hundred seventy-two billion, three hundred seven million, six hundred thirteen thousand, one hundred twenty".