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113268614112 = 25376012693
BaseRepresentation
bin110100101111101010…
…1011110001111100000
3101211100212212210000000
41221133111132033200
53323433231122422
6124011311300000
711116621222443
oct1513725361740
9354325783000
10113268614112
11440451a8295
1219b5151a600
13a8b17404b4
1456a734d65a
152e2e04acac
hex1a5f55e3e0

113268614112 has 192 divisors, whose sum is σ = 335126272320. Its totient is φ = 37679385600.

The previous prime is 113268614071. The next prime is 113268614143. The reversal of 113268614112 is 211416862311.

113268614112 is a `hidden beast` number, since 1 + 1 + 3 + 26 + 8 + 614 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42059038 + ... + 42061730.

It is an arithmetic number, because the mean of its divisors is an integer number (1745449335).

Almost surely, 2113268614112 is an apocalyptic number.

113268614112 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 113268614112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167563136160).

113268614112 is an abundant number, since it is smaller than the sum of its proper divisors (221857658208).

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

113268614112 is an frugal number, since it uses more digits than its factorization.

113268614112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3299 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 113268614112 in words is "one hundred thirteen billion, two hundred sixty-eight million, six hundred fourteen thousand, one hundred twelve".