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9568500480 = 2832572112367
BaseRepresentation
bin10001110100101001…
…11011101100000000
3220200211211012001200
420322110323230000
5124044014003410
64221250101200
7456054624600
oct107224735400
926624735050
109568500480
114070195040
121a3057a800
13b9649a506
1466ab1cc00
153b00763c0
hex23a53bb00

9568500480 has 1296 divisors, whose sum is σ = 44493007104. Its totient is φ = 1873428480.

The previous prime is 9568500401. The next prime is 9568500521. The reversal of 9568500480 is 840058659.

9568500480 is a `hidden beast` number, since 9 + 5 + 68 + 500 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142813407 + ... + 142813473.

It is an arithmetic number, because the mean of its divisors is an integer number (34331024).

Almost surely, 29568500480 is an apocalyptic number.

9568500480 is a gapful number since it is divisible by the number (90) 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 9568500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22246503552).

9568500480 is an abundant number, since it is smaller than the sum of its proper divisors (34924506624).

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

9568500480 is a wasteful number, since it uses less digits than its factorization.

9568500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 9568500480 is about 97818.7123202918. The cubic root of 9568500480 is about 2122.9900611062.

The spelling of 9568500480 in words is "nine billion, five hundred sixty-eight million, five hundred thousand, four hundred eighty".