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220026420663624 = 2332171571144969093
BaseRepresentation
bin110010000001110011100100…
…101001010001010101001000
31001212001022122120020100011100
4302001303210221101111020
5212314403102142213444
62055542424154101400
764226245550305311
oct6201634451212510
91055038576210140
10220026420663624
116411a754429a83
122081671711a860
1395a0530211093
143c4949ab99608
151a685d36bee69
hexc81ce4a51548

220026420663624 has 96 divisors (see below), whose sum is σ = 634976960150520. Its totient is φ = 68588228487168.

The previous prime is 220026420663613. The next prime is 220026420663659. The reversal of 220026420663624 is 426366024620022.

220026420663624 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 2 + 6 + 4 + 2 + 0 + 6 + 636 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 197127496844100 + 22898923819524 = 14040210^2 + 4785282^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220026420663624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572292379 + ... + 572676714.

Almost surely, 2220026420663624 is an apocalyptic number.

220026420663624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220026420663624 is an abundant number, since it is smaller than the sum of its proper divisors (414950539486896).

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

220026420663624 is a wasteful number, since it uses less digits than its factorization.

220026420663624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144969279 (or 1144969272 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 220026420663624 in words is "two hundred twenty trillion, twenty-six billion, four hundred twenty million, six hundred sixty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 157 204 306 314 408 471 612 628 942 1224 1256 1413 1884 2669 2826 3768 5338 5652 8007 10676 11304 16014 21352 24021 32028 48042 64056 96084 192168 1144969093 2289938186 3434907279 4579876372 6869814558 9159752744 10304721837 13739629116 19464474581 20609443674 27479258232 38928949162 41218887348 58393423743 77857898324 82437774696 116786847486 155715796648 175180271229 179760147601 233573694972 350360542458 359520295202 467147389944 539280442803 700721084916 719040590404 1078560885606 1401442169832 1438081180808 1617841328409 2157121771212 3055922509217 3235682656818 4314243542424 6111845018434 6471365313636 9167767527651 12223690036868 12942730627272 18335535055302 24447380073736 27503302582953 36671070110604 55006605165906 73342140221208 110013210331812 220026420663624