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113599316376 = 233471321723379
BaseRepresentation
bin110100111001100001…
…1000000000110011000
3101212012221011012020000
41221303003000012120
53330122411111001
6124104203333000
711131045154130
oct1516303000630
9355187135200
10113599316376
11441a4941847
121a024221160
13a9350cab00
1456d9235ac0
152e4d0c1a86
hex1a730c0198

113599316376 has 960 divisors, whose sum is σ = 436199385600. Its totient is φ = 26900729856.

The previous prime is 113599316371. The next prime is 113599316377. The reversal of 113599316376 is 673613995311.

It is a happy number.

113599316376 is a `hidden beast` number, since 1 + 1 + 3 + 599 + 3 + 16 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113599316371) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 299734155 + ... + 299734533.

It is an arithmetic number, because the mean of its divisors is an integer number (454374360).

Almost surely, 2113599316376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113599316376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218099692800).

113599316376 is an abundant number, since it is smaller than the sum of its proper divisors (322600069224).

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

113599316376 is a wasteful number, since it uses less digits than its factorization.

113599316376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 444 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The spelling of 113599316376 in words is "one hundred thirteen billion, five hundred ninety-nine million, three hundred sixteen thousand, three hundred seventy-six".