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113730325632 = 27327111282133
BaseRepresentation
bin110100111101011011…
…0110000110010000000
3101212120001200011010200
41221322312300302000
53330404430410012
6124125203325200
711134225550250
oct1517266606200
9355501604120
10113730325632
1144261892a60
121a060080800
13a9562aaa91
14570c7b9960
152e5984e3dc
hex1a7adb0c80

113730325632 has 192 divisors, whose sum is σ = 408026324160. Its totient is φ = 29540321280.

The previous prime is 113730325627. The next prime is 113730325633. The reversal of 113730325632 is 236523037311.

113730325632 is a `hidden beast` number, since 1 + 1 + 37 + 30 + 32 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (113730325633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552363 + ... + 729770.

It is an arithmetic number, because the mean of its divisors is an integer number (2125137105).

Almost surely, 2113730325632 is an apocalyptic number.

113730325632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113730325632 is an abundant number, since it is smaller than the sum of its proper divisors (294295998528).

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

113730325632 is a wasteful number, since it uses less digits than its factorization.

113730325632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282171 (or 1282156 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 113730325632 in words is "one hundred thirteen billion, seven hundred thirty million, three hundred twenty-five thousand, six hundred thirty-two".