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113497263360 = 2832513297601
BaseRepresentation
bin110100110110011110…
…1101100110100000000
3101211221211010100210200
41221230331230310000
53324420244411420
6124050120125200
711125365551355
oct1515475546400
9354854110720
10113497263360
1144152278908
1219bb6006800
13a919c18a00
1456c986c62c
152e44163b90
hex1a6cf6cd00

113497263360 has 648 divisors, whose sum is σ = 430317649944. Its totient is φ = 27603763200.

The previous prime is 113497263349. The next prime is 113497263367. The reversal of 113497263360 is 63362794311.

113497263360 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 9 + 7 + 2 + 633 + 6 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 46262847744 + 67234415616 = 215088^2 + 259296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113497263367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188847060 + ... + 188847660.

Almost surely, 2113497263360 is an apocalyptic number.

113497263360 is a gapful number since it is divisible by the number (10) 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 113497263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215158824972).

113497263360 is an abundant number, since it is smaller than the sum of its proper divisors (316820386584).

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

113497263360 is a wasteful number, since it uses less digits than its factorization.

113497263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 113497263360 in words is "one hundred thirteen billion, four hundred ninety-seven million, two hundred sixty-three thousand, three hundred sixty".