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113479706304 = 26321607122597
BaseRepresentation
bin110100110101111101…
…0101110011011000000
3101211220121002101001100
41221223322232123000
53324401301100204
6124044251534400
711125063405536
oct1515372563300
9354817071040
10113479706304
1144143376a48
1219bb015a400
13a9163ac513
1456c73bc156
152e42846a39
hex1a6beae6c0

113479706304 has 84 divisors (see below), whose sum is σ = 325474151184. Its totient is φ = 37802721792.

The previous prime is 113479706273. The next prime is 113479706363. The reversal of 113479706304 is 403607974311.

113479706304 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 7 + 9 + 7 + 0 + 630 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 113479706304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864334 + ... + 986930.

It is an arithmetic number, because the mean of its divisors is an integer number (3874692276).

Almost surely, 2113479706304 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 113479706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162737075592).

113479706304 is an abundant number, since it is smaller than the sum of its proper divisors (211994444880).

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

113479706304 is a wasteful number, since it uses less digits than its factorization.

113479706304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124222 (or 124209 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 113479706304 in words is "one hundred thirteen billion, four hundred seventy-nine million, seven hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1607 3214 4821 6428 9642 12856 14463 19284 25712 28926 38568 51424 57852 77136 102848 115704 122597 154272 231408 245194 308544 367791 462816 490388 735582 925632 980776 1103373 1471164 1961552 2206746 2942328 3923104 4413492 5884656 7846208 8826984 11769312 17653968 23538624 35307936 70615872 197013379 394026758 591040137 788053516 1182080274 1576107032 1773120411 2364160548 3152214064 3546240822 4728321096 6304428128 7092481644 9456642192 12608856256 14184963288 18913284384 28369926576 37826568768 56739853152 113479706304