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113999136192 = 2632476736257
BaseRepresentation
bin110101000101011100…
…0001100010111000000
3101220020210111010220100
41222022320030113000
53331432234324232
6124212005042400
711144001445434
oct1521270142700
9356223433810
10113999136192
114438a5a4347
121a1160b6400
13a999ba8396
1457363909c4
152e7324bc7c
hex1a8ae0c5c0

113999136192 has 168 divisors, whose sum is σ = 334259505216. Its totient is φ = 37130010624.

The previous prime is 113999136187. The next prime is 113999136193. The reversal of 113999136192 is 291631999311.

It is a happy number.

113999136192 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 9 + 9 + 13 + 619 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113999136193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18216328 + ... + 18222584.

It is an arithmetic number, because the mean of its divisors is an integer number (1989639912).

Almost surely, 2113999136192 is an apocalyptic number.

113999136192 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 113999136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167129752608).

113999136192 is an abundant number, since it is smaller than the sum of its proper divisors (220260369024).

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

113999136192 is a wasteful number, since it uses less digits than its factorization.

113999136192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995 (or 6982 counting only the distinct ones).

The product of its digits is 708588, while the sum is 54.

The spelling of 113999136192 in words is "one hundred thirteen billion, nine hundred ninety-nine million, one hundred thirty-six thousand, one hundred ninety-two".