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9045357768 = 2332125629969
BaseRepresentation
bin10000110110010010…
…10011010011001000
3212100101102210011200
420123021103103020
5122011102422033
64053321224200
7440103162306
oct103311232310
925311383150
109045357768
113921961197
121905332060
13b11ca1705
1461b461276
1537e18b013
hex21b2534c8

9045357768 has 24 divisors (see below), whose sum is σ = 24497844150. Its totient is φ = 3015119232.

The previous prime is 9045357709. The next prime is 9045357809. The reversal of 9045357768 is 8677535409.

9045357768 is a `hidden beast` number, since 9 + 0 + 4 + 5 + 3 + 577 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5956443684 + 3088914084 = 77178^2 + 55578^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×90453577682 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62814913 + ... + 62815056.

Almost surely, 29045357768 is an apocalyptic number.

It is an amenable number.

9045357768 is an abundant number, since it is smaller than the sum of its proper divisors (15452486382).

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

9045357768 is a wasteful number, since it uses less digits than its factorization.

9045357768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125629981 (or 125629974 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 9045357768 is about 95107.0857928052. The cubic root of 9045357768 is about 2083.5723380511.

The spelling of 9045357768 in words is "nine billion, forty-five million, three hundred fifty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 125629969 251259938 376889907 502519876 753779814 1005039752 1130669721 1507559628 2261339442 3015119256 4522678884 9045357768