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56720420433765 = 32511390232936389
BaseRepresentation
bin11001110010110010000001…
…00000101110111101100101
321102211102022121211201201200
430321121000200232331211
524413301410112340030
6320345000150313113
714642625615531204
oct1471310040567545
9242742277751650
1056720420433765
1117088aa4700280
12644096a058799
132585935a418ba
1410013d678723b
156856657b8d60
hex33964082ef65

56720420433765 has 48 divisors (see below), whose sum is σ = 107255943624960. Its totient is φ = 27500095808640.

The previous prime is 56720420433763. The next prime is 56720420433959. The reversal of 56720420433765 is 56733402402765.

56720420433765 is a `hidden beast` number, since 5 + 6 + 7 + 204 + 20 + 43 + 376 + 5 = 666.

It is not a de Polignac number, because 56720420433765 - 21 = 56720420433763 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56720420433763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17848191 + ... + 20784579.

It is an arithmetic number, because the mean of its divisors is an integer number (2234498825520).

Almost surely, 256720420433765 is an apocalyptic number.

56720420433765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56720420433765 is a deficient number, since it is larger than the sum of its proper divisors (50535523191195).

56720420433765 is a wasteful number, since it uses less digits than its factorization.

56720420433765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975434 (or 2975431 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 56720420433765 in words is "fifty-six trillion, seven hundred twenty billion, four hundred twenty million, four hundred thirty-three thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 39023 117069 195115 351207 429253 585345 1287759 1756035 2146265 2936389 3863277 6438795 8809167 14681945 19316385 26427501 32300279 44045835 96900837 132137505 161501395 290702511 484504185 1453512555 114586707947 343760123841 572933539735 1031280371523 1260453787417 1718800619205 3781361362251 5156401857615 6302268937085 11344084086753 18906806811255 56720420433765