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115713694368 = 25341729831091
BaseRepresentation
bin110101111000100010…
…0101101101010100000
3102001200021201201120000
41223301010231222200
53343440201204433
6125054054020000
711234331113346
oct1536104555240
9361607651500
10115713694368
114508a400278
121a514347600
13abb118114c
145859d85996
153023a29113
hex1af112daa0

115713694368 has 480 divisors, whose sum is σ = 377590973760. Its totient is φ = 34596495360.

The previous prime is 115713694367. The next prime is 115713694381. The reversal of 115713694368 is 863496317511.

115713694368 is a `hidden beast` number, since 1 + 1 + 571 + 3 + 6 + 9 + 4 + 3 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (115713694361) 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 79 ways as a sum of consecutive naturals, for example, 106061503 + ... + 106062593.

It is an arithmetic number, because the mean of its divisors is an integer number (786647862).

Almost surely, 2115713694368 is an apocalyptic number.

115713694368 is a gapful number since it is divisible by the number (18) 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 115713694368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188795486880).

115713694368 is an abundant number, since it is smaller than the sum of its proper divisors (261877279392).

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

115713694368 is a wasteful number, since it uses less digits than its factorization.

115713694368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1225 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 115713694368 in words is "one hundred fifteen billion, seven hundred thirteen million, six hundred ninety-four thousand, three hundred sixty-eight".