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104264668872 = 2332713175031861
BaseRepresentation
bin110000100011010101…
…0001001011011001000
3100222010101100222010200
41201012222021123020
53202013223400442
6115522025412200
710350530030310
oct1410652113310
9328111328120
10104264668872
1140244761a31
121825a03a060
139aa820b550
1450915cc440
152aa384034c
hex1846a896c8

104264668872 has 384 divisors, whose sum is σ = 368922677760. Its totient is φ = 25815490560.

The previous prime is 104264668841. The next prime is 104264668883. The reversal of 104264668872 is 278866462401.

It is a happy number.

104264668872 is a `hidden beast` number, since 10 + 4 + 26 + 466 + 88 + 72 = 666.

It is a super-2 number, since 2×1042646688722 (a number of 23 digits) contains 22 as substring.

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, 56025222 + ... + 56027082.

It is an arithmetic number, because the mean of its divisors is an integer number (960736140).

Almost surely, 2104264668872 is an apocalyptic number.

104264668872 is a gapful number since it is divisible by the number (12) 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 104264668872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184461338880).

104264668872 is an abundant number, since it is smaller than the sum of its proper divisors (264658008888).

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

104264668872 is a wasteful number, since it uses less digits than its factorization.

104264668872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 104264668872 in words is "one hundred four billion, two hundred sixty-four million, six hundred sixty-eight thousand, eight hundred seventy-two".