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9126540864 = 263472193161
BaseRepresentation
bin10000111111111101…
…11111011001000000
3212120001012022110000
420133332333121000
5122142343301424
64105341240000
7442110213600
oct103776773100
925501168400
109126540864
113963770261
121928563000
13b25a5744c
14628154c00
153863753c9
hex21ffbf640

9126540864 has 840 divisors, whose sum is σ = 34756465920. Its totient is φ = 2351462400.

The previous prime is 9126540853. The next prime is 9126540889. The reversal of 9126540864 is 4680456219.

9126540864 is a `hidden beast` number, since 9 + 1 + 26 + 540 + 86 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 149615394 + ... + 149615454.

Almost surely, 29126540864 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 9126540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17378232960).

9126540864 is an abundant number, since it is smaller than the sum of its proper divisors (25629925056).

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

9126540864 is a wasteful number, since it uses less digits than its factorization.

9126540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9126540864 is about 95532.9307830551. The cubic root of 9126540864 is about 2089.7872133663.

The spelling of 9126540864 in words is "nine billion, one hundred twenty-six million, five hundred forty thousand, eight hundred sixty-four".