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113171049792 = 2632172838191
BaseRepresentation
bin110100101100110000…
…1010010110101000000
3101211010002021222220200
41221121201102311000
53323233242043132
6123553504205200
711114325023403
oct1513141226500
9354102258820
10113171049792
1143aa511a819
1219b24909800
13a897470528
1456983d3d3a
152e256c7d7c
hex1a59852d40

113171049792 has 252 divisors, whose sum is σ = 348782493696. Its totient is φ = 35072593920.

The previous prime is 113171049791. The next prime is 113171049811. The reversal of 113171049792 is 297940171311.

It is a happy number.

113171049792 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 71 + 0 + 497 + 92 = 666.

It is a super-2 number, since 2×1131710497922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113171049791) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13812417 + ... + 13820607.

Almost surely, 2113171049792 is an apocalyptic number.

113171049792 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 113171049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174391246848).

113171049792 is an abundant number, since it is smaller than the sum of its proper divisors (235611443904).

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

113171049792 is a wasteful number, since it uses less digits than its factorization.

113171049792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 113171049792 in words is "one hundred thirteen billion, one hundred seventy-one million, forty-nine thousand, seven hundred ninety-two".