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56444422444465 = 5117123362036041
BaseRepresentation
bin11001101010101111111011…
…01111111101010110110001
321101212000220211221011211211
430311113331233331112301
524344241134121210330
6320014113143440121
714613655256402236
oct1465277557752661
9241760824834754
1056444422444465
1116a91a43a6a960
1263b7382a56041
1325658bc7645b3
14dd1cd324578d
1567d3b0396d2a
hex3355fdbfd5b1

56444422444465 has 32 divisors (see below), whose sum is σ = 75253192964352. Its totient is φ = 40298611584000.

The previous prime is 56444422444457. The next prime is 56444422444517.

56444422444465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56444422444465 - 23 = 56444422444457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30108156 + ... + 31927885.

It is an arithmetic number, because the mean of its divisors is an integer number (2351662280136).

Almost surely, 256444422444465 is an apocalyptic number.

56444422444465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56444422444465 is a deficient number, since it is larger than the sum of its proper divisors (18808770519887).

56444422444465 is a wasteful number, since it uses less digits than its factorization.

56444422444465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62036361.

The product of its digits is 235929600, while the sum is 58.

The spelling of 56444422444465 in words is "fifty-six trillion, four hundred forty-four billion, four hundred twenty-two million, four hundred forty-four thousand, four hundred sixty-five".

Divisors: 1 5 11 55 71 233 355 781 1165 2563 3905 12815 16543 82715 181973 909865 62036041 310180205 682396451 3411982255 4404558911 14454397553 22022794555 48450148021 72271987765 158998373083 242250740105 794991865415 1026262226263 5131311131315 11288884488893 56444422444465