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56427399372465 = 32511113994746207
BaseRepresentation
bin11001101010010000001110…
…00110000101111010110001
321101210101222111000112002200
430311020013012011322301
524344001303214404330
6320002220040133413
714612513362565562
oct1465100706057261
9241711874015080
1056427399372465
1116a857a8982a10
1263b4011a67269
132564108a53724
14dd115a47c169
1567cc15b63a60
hex335207185eb1

56427399372465 has 24 divisors (see below), whose sum is σ = 106699082450688. Its totient is φ = 27358739089440.

The previous prime is 56427399372439. The next prime is 56427399372479.

It is a happy number.

56427399372465 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 7 + 3 + 9 + 93 + 72 + 465 = 666.

56427399372465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56427399372465 - 28 = 56427399372209 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56427399372393 and 56427399372402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56997372609 + ... + 56997373598.

It is an arithmetic number, because the mean of its divisors is an integer number (4445795102112).

Almost surely, 256427399372465 is an apocalyptic number.

56427399372465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56427399372465 is a deficient number, since it is larger than the sum of its proper divisors (50271683078223).

56427399372465 is a wasteful number, since it uses less digits than its factorization.

56427399372465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113994746229 (or 113994746226 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 72.

The spelling of 56427399372465 in words is "fifty-six trillion, four hundred twenty-seven billion, three hundred ninety-nine million, three hundred seventy-two thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 113994746207 341984238621 569973731035 1025952715863 1253942208277 1709921193105 3761826624831 5129763579315 6269711041385 11285479874493 18809133124155 56427399372465