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9001656513 = 322511739821
BaseRepresentation
bin10000110001000101…
…00110000011000001
3212020100012112022200
420120202212003001
5121413411002023
64045120423413
7436032550353
oct103042460301
925210175280
109001656513
1138aa222853
1218b2777b69
13b05c10295
146157270d3
1537a407743
hex2188a60c1

9001656513 has 12 divisors (see below), whose sum is σ = 13003236948. Its totient is φ = 6000714720.

The previous prime is 9001656511. The next prime is 9001656563. The reversal of 9001656513 is 3156561009.

9001656513 is a `hidden beast` number, since 90 + 0 + 1 + 6 + 56 + 513 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5632202304 + 3369454209 = 75048^2 + 58047^2 .

It is not a de Polignac number, because 9001656513 - 21 = 9001656511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9001656511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206143 + ... + 245963.

It is an arithmetic number, because the mean of its divisors is an integer number (1083603079).

Almost surely, 29001656513 is an apocalyptic number.

It is an amenable number.

9001656513 is a deficient number, since it is larger than the sum of its proper divisors (4001580435).

9001656513 is a wasteful number, since it uses less digits than its factorization.

9001656513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64944 (or 64941 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 9001656513 is about 94877.0599934463. The cubic root of 9001656513 is about 2080.2114332191.

The spelling of 9001656513 in words is "nine billion, one million, six hundred fifty-six thousand, five hundred thirteen".

Divisors: 1 3 9 25117 39821 75351 119463 226053 358389 1000184057 3000552171 9001656513