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56435374440 = 23325156764929
BaseRepresentation
bin110100100011110011…
…110111100101101000
312101200002010001202100
4310203303313211220
51411034423440230
641532005533400
74035343524234
oct644363674550
9171602101670
1056435374440
1121a30330125
12ab30114260
1354250b43b3
142a352b15c4
15170482c660
hexd23cf7968

56435374440 has 48 divisors (see below), whose sum is σ = 183414968100. Its totient is φ = 15049433088.

The previous prime is 56435374423. The next prime is 56435374441. The reversal of 56435374440 is 4447353465.

56435374440 is a `hidden beast` number, since 56 + 43 + 53 + 74 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55848087684 + 587286756 = 236322^2 + 24234^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56435374441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78382105 + ... + 78382824.

Almost surely, 256435374440 is an apocalyptic number.

It is an amenable number.

56435374440 is an abundant number, since it is smaller than the sum of its proper divisors (126979593660).

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

56435374440 is a wasteful number, since it uses less digits than its factorization.

56435374440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156764946 (or 156764939 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 56435374440 in words is "fifty-six billion, four hundred thirty-five million, three hundred seventy-four thousand, four hundred 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 156764929 313529858 470294787 627059716 783824645 940589574 1254119432 1410884361 1567649290 1881179148 2351473935 2821768722 3135298580 3762358296 4702947870 5643537444 6270597160 7054421805 9405895740 11287074888 14108843610 18811791480 28217687220 56435374440