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56403104040 = 23325125172
BaseRepresentation
bin110100100001111000…
…110001000100101000
312101120211101120002100
4310201320301010220
51411003143312130
641524454133400
74034502321363
oct644170610450
9171524346070
1056403104040
1121a14099978
12ab21351260
13541b4c5b9a
142a30cb10da
151701aa5c60
hexd21e31128

56403104040 has 72 divisors (see below), whose sum is σ = 183324734190. Its totient is φ = 15039626112.

The previous prime is 56403104027. The next prime is 56403104047. The reversal of 56403104040 is 4040130465.

56403104040 is a `hidden beast` number, since 5 + 640 + 3 + 10 + 4 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 56120662404 + 282441636 = 236898^2 + 16806^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 56403103995 and 56403104013.

It is not an unprimeable number, because it can be changed into a prime (56403104047) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4499862 + ... + 4512378.

Almost surely, 256403104040 is an apocalyptic number.

It is an amenable number.

56403104040 is an abundant number, since it is smaller than the sum of its proper divisors (126921630150).

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

56403104040 is an equidigital number, since it uses as much as digits as its factorization.

56403104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25051 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Multiplying 56403104040 by its product of nonzero digits (5760), we get a square (324881879270400 = 180244802).

The spelling of 56403104040 in words is "fifty-six billion, four hundred three million, one hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 12517 25034 37551 50068 62585 75102 100136 112653 125170 150204 187755 225306 250340 300408 375510 450612 500680 563265 751020 901224 1126530 1502040 2253060 4506120 156675289 313350578 470025867 626701156 783376445 940051734 1253402312 1410077601 1566752890 1880103468 2350129335 2820155202 3133505780 3760206936 4700258670 5640310404 6267011560 7050388005 9400517340 11280620808 14100776010 18801034680 28201552020 56403104040