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9130987008 = 2933111331149
BaseRepresentation
bin10001000000011111…
…11100111000000000
3212120100120012102000
420200033330320000
5122200013041013
64110020424000
7442163052243
oct104017747000
925510505360
109130987008
113966227760
121929b48000
13b269530c0
1462899125a
15386952973
hex2203fce00

9130987008 has 640 divisors, whose sum is σ = 32997888000. Its totient is φ = 2455142400.

The previous prime is 9130986983. The next prime is 9130987027. The reversal of 9130987008 is 8007890319.

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 63 ways as a sum of consecutive naturals, for example, 61281718 + ... + 61281866.

It is an arithmetic number, because the mean of its divisors is an integer number (51559200).

Almost surely, 29130987008 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 9130987008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944000).

9130987008 is an abundant number, since it is smaller than the sum of its proper divisors (23866900992).

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

9130987008 is a wasteful number, since it uses less digits than its factorization.

9130987008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 9130987008 is about 95556.1981663147. The cubic root of 9130987008 is about 2090.1265163067.

The spelling of 9130987008 in words is "nine billion, one hundred thirty million, nine hundred eighty-seven thousand, eight".