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115152560064 = 263619129901
BaseRepresentation
bin110101100111110100…
…0001001111111000000
3102000020011212011000000
41223033220021333000
53341313023410224
6124522251000000
711214405416313
oct1531750117700
9360204764000
10115152560064
1144921688813
121a398439000
13ab21b42a09
14580563897a
152ede6370c9
hex1acfa09fc0

115152560064 has 196 divisors, whose sum is σ = 360636530440. Its totient is φ = 36363686400.

The previous prime is 115152560011. The next prime is 115152560087. The reversal of 115152560064 is 460065251511.

115152560064 is a `hidden beast` number, since 1 + 1 + 515 + 25 + 60 + 0 + 64 = 666.

It is a super-2 number, since 2×1151525600642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 821514 + ... + 951414.

Almost surely, 2115152560064 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 115152560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180318265220).

115152560064 is an abundant number, since it is smaller than the sum of its proper divisors (245483970376).

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

115152560064 is an equidigital number, since it uses as much as digits as its factorization.

115152560064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129950 (or 129925 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 115152560064 in words is "one hundred fifteen billion, one hundred fifty-two million, five hundred sixty thousand, sixty-four".