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23275664849790 = 232517711213176641
BaseRepresentation
bin1010100101011010010011…
…01111000011101101111110
310001102010120002210002111100
411102231021233003231332
511022322030200143130
6121300405352033530
74621416446602503
oct522551157035576
9101363502702440
1023275664849790
117464177015521
12273ab910928a6
13ccab6908c172
145a67963374aa
152a56c0643c60
hex152b49bc3b7e

23275664849790 has 192 divisors, whose sum is σ = 65032959618432. Its totient is φ = 5754676838400.

The previous prime is 23275664849747. The next prime is 23275664849791. The reversal of 23275664849790 is 9794846657232.

23275664849790 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 5 + 6 + 6 + 48 + 497 + 90 = 666.

It is a super-3 number, since 3×232756648497903 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23275664849791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131679870 + ... + 131856510.

It is an arithmetic number, because the mean of its divisors is an integer number (338713331346).

Almost surely, 223275664849790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23275664849790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32516479809216).

23275664849790 is an abundant number, since it is smaller than the sum of its proper divisors (41757294768642).

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

23275664849790 is a wasteful number, since it uses less digits than its factorization.

23275664849790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177955 (or 177952 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 23275664849790 in words is "twenty-three trillion, two hundred seventy-five billion, six hundred sixty-four million, eight hundred forty-nine thousand, seven hundred ninety".