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115713940608 = 273572233301
BaseRepresentation
bin110101111000100010…
…1101001110010000000
3102001200022012020100000
41223301011221302000
53343440232044413
6125054103200000
711234333160300
oct1536105516200
9361608166300
10115713940608
114508a559282
121a514446000
13abb1239256
14585a00b600
153023a77073
hex1af1169c80

115713940608 has 576 divisors, whose sum is σ = 419280563520. Its totient is φ = 31614105600.

The previous prime is 115713940597. The next prime is 115713940669. The reversal of 115713940608 is 806049317511.

115713940608 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 1 + 39 + 4 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35052558 + ... + 35055858.

It is an arithmetic number, because the mean of its divisors is an integer number (727917645).

Almost surely, 2115713940608 is an apocalyptic number.

115713940608 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 115713940608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209640281760).

115713940608 is an abundant number, since it is smaller than the sum of its proper divisors (303566622912).

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

115713940608 is an equidigital number, since it uses as much as digits as its factorization.

115713940608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 115713940608 in words is "one hundred fifteen billion, seven hundred thirteen million, nine hundred forty thousand, six hundred eight".