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426224161422624 = 25331243758769177
BaseRepresentation
bin110000011101001100000101…
…1101111000111110100100000
32001220010122001122112022002210
41200322120023233013310200
5421331224040311010444
64110300402053242120
7155530452025066005
oct14072301357076440
92056118048468083
10426224161422624
11113898719533754
123b979121333340
13153a99c5a77c06
1477375065d18ac
15344210664b7b9
hex183a60bbc7d20

426224161422624 has 96 divisors (see below), whose sum is σ = 1155403920093696. Its totient is φ = 137435244226560.

The previous prime is 426224161422607. The next prime is 426224161422641.

426224161422624 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (426224161422607) and next prime (426224161422641).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22132077 + ... + 36637100.

It is an arithmetic number, because the mean of its divisors is an integer number (12035457500976).

Almost surely, 2426224161422624 is an apocalyptic number.

It is an amenable number.

426224161422624 is an abundant number, since it is smaller than the sum of its proper divisors (729179758671072).

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

426224161422624 is a wasteful number, since it uses less digits than its factorization.

426224161422624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58771658 (or 58771650 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 48.

The spelling of 426224161422624 in words is "four hundred twenty-six trillion, two hundred twenty-four billion, one hundred sixty-one million, four hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2437 2976 4874 7311 9748 14622 19496 29244 38992 58488 75547 77984 116976 151094 226641 233952 302188 453282 604376 906564 1208752 1813128 2417504 3626256 7252512 58769177 117538354 176307531 235076708 352615062 470153416 705230124 940306832 1410460248 1821844487 1880613664 2820920496 3643688974 5465533461 5641840992 7287377948 10931066922 14574755896 21862133844 29149511792 43724267688 58299023584 87448535376 143220484349 174897070752 286440968698 429661453047 572881937396 859322906094 1145763874792 1718645812188 2291527749584 3437291624376 4439835014819 4583055499168 6874583248752 8879670029638 13319505044457 13749166497504 17759340059276 26639010088914 35518680118552 53278020177828 71037360237104 106556040355656 142074720474208 213112080711312 426224161422624