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113755963392 = 214321922137
BaseRepresentation
bin110100111110001100…
…0100100000000000000
3101212121211220200112100
41221330120210000000
53330433011312032
6124131521030400
711134656510021
oct1517430440000
9355554820470
10113755963392
1144275303a95
121a068785400
13a95b6b6356
145711d70c48
152e5bc1597c
hex1a7c624000

113755963392 has 270 divisors, whose sum is σ = 346986605238. Its totient is φ = 35906125824.

The previous prime is 113755963379. The next prime is 113755963429. The reversal of 113755963392 is 293369557311.

113755963392 is a `hidden beast` number, since 1 + 13 + 7 + 5 + 596 + 3 + 39 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68988174336 + 44767789056 = 262656^2 + 211584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53230548 + ... + 53232684.

Almost surely, 2113755963392 is an apocalyptic number.

113755963392 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 113755963392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173493302619).

113755963392 is an abundant number, since it is smaller than the sum of its proper divisors (233230641846).

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

113755963392 is an equidigital number, since it uses as much as digits as its factorization.

113755963392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2161 counting only the distinct ones).

The product of its digits is 4592700, while the sum is 54.

The spelling of 113755963392 in words is "one hundred thirteen billion, seven hundred fifty-five million, nine hundred sixty-three thousand, three hundred ninety-two".