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5115670560 = 253357211133
BaseRepresentation
bin1001100001110101…
…01111000000100000
3111012112000222202000
410300322233000200
540434102424220
62203342324000
7240525324300
oct46072570040
914175028660
105115670560
112195732010
12ba9289600
13636acb000
143675b1600
151ee1a4390
hex130eaf020

5115670560 has 1152 divisors, whose sum is σ = 24614150400. Its totient is φ = 981227520.

The previous prime is 5115670543. The next prime is 5115670589. The reversal of 5115670560 is 650765115.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 393513114 + ... + 393513126.

It is an arithmetic number, because the mean of its divisors is an integer number (21366450).

Almost surely, 25115670560 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 5115670560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307075200).

5115670560 is an abundant number, since it is smaller than the sum of its proper divisors (19498479840).

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

5115670560 is a wasteful number, since it uses less digits than its factorization.

5115670560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 5115670560 is about 71523.9160001744. The cubic root of 5115670560 is about 1723.0618079604.

The spelling of 5115670560 in words is "five billion, one hundred fifteen million, six hundred seventy thousand, five hundred sixty".