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45492360768 = 2632372134589
BaseRepresentation
bin101010010111100011…
…100101011001000000
311100102102220101001200
4222113203211121000
51221132021021033
632522055101200
73200225454261
oct522743453100
9140372811050
1045492360768
1118325284a78
128997371800
13439cc2008a
1422b7bd6968
1512b3c98013
hexa978e5640

45492360768 has 84 divisors (see below), whose sum is σ = 133919907420. Its totient is φ = 14754272256.

The previous prime is 45492360647. The next prime is 45492360787. The reversal of 45492360768 is 86706329454.

45492360768 is a `hidden beast` number, since 4 + 5 + 4 + 9 + 23 + 607 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40807232064 + 4685128704 = 202008^2 + 68448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1045983 + ... + 1088606.

Almost surely, 245492360768 is an apocalyptic number.

45492360768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45492360768 is an abundant number, since it is smaller than the sum of its proper divisors (88427546652).

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

45492360768 is a wasteful number, since it uses less digits than its factorization.

45492360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134644 (or 2134631 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 45492360768 in words is "forty-five billion, four hundred ninety-two million, three hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 7104 10656 21312 2134589 4269178 6403767 8538356 12807534 17076712 19211301 25615068 34153424 38422602 51230136 68306848 76845204 78979793 102460272 136613696 153690408 157959586 204920544 236939379 307380816 315919172 409841088 473878758 614761632 631838344 710818137 947757516 1229523264 1263676688 1421636274 1895515032 2527353376 2843272548 3791030064 5054706752 5686545096 7582060128 11373090192 15164120256 22746180384 45492360768