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115713656352 = 2533731243463
BaseRepresentation
bin110101111000100010…
…0100100011000100000
3102001200021122210102000
41223301010210120200
53343440144000402
6125054053124000
711234330564460
oct1536104443040
9361607583360
10115713656352
114508a384758
121a514329600
13abb1169a58
145859d75ba0
153023a1cc1c
hex1af1124620

115713656352 has 576 divisors, whose sum is σ = 408705454080. Its totient is φ = 31183004160.

The previous prime is 115713656323. The next prime is 115713656363. The reversal of 115713656352 is 253656317511.

115713656352 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 1 + 3 + 6 + 5 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 115713656298 and 115713656307.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249921273 + ... + 249921735.

It is an arithmetic number, because the mean of its divisors is an integer number (709558080).

Almost surely, 2115713656352 is an apocalyptic number.

115713656352 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 115713656352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204352727040).

115713656352 is an abundant number, since it is smaller than the sum of its proper divisors (292991797728).

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

115713656352 is a wasteful number, since it uses less digits than its factorization.

115713656352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 549 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The spelling of 115713656352 in words is "one hundred fifteen billion, seven hundred thirteen million, six hundred fifty-six thousand, three hundred fifty-two".