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21995262864 = 24321727272
BaseRepresentation
bin10100011111000001…
…010001001110010000
32002202212222010100100
4110133001101032100
5330021241402424
614034322452400
71406030435541
oct243701211620
962685863310
1021995262864
1193678305a3
12431a204100
1320c6b83a53
1410c92aa4c8
1588aee4dc9
hex51f051390

21995262864 has 135 divisors (see below), whose sum is σ = 65480205297. Its totient is φ = 6890982912.

The previous prime is 21995262859. The next prime is 21995262901. The reversal of 21995262864 is 46826259912.

The square root of 21995262864 is 148308.

It is a perfect power (a square), and thus also a powerful number.

21995262864 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 5 + 2 + 628 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17124339600 + 4870923264 = 130860^2 + 69792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21995262864.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30254469 + ... + 30255195.

Almost surely, 221995262864 is an apocalyptic number.

21995262864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21995262864 is the 148308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21995262864

21995262864 is an abundant number, since it is smaller than the sum of its proper divisors (43484942433).

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

21995262864 is an equidigital number, since it uses as much as digits as its factorization.

21995262864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 749 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 21995262864 in words is "twenty-one billion, nine hundred ninety-five million, two hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 727 816 867 1156 1224 1454 1734 2181 2312 2448 2601 2908 3468 4362 4624 5202 5816 6543 6936 8724 10404 11632 12359 13086 13872 17448 20808 24718 26172 34896 37077 41616 49436 52344 74154 98872 104688 111231 148308 197744 210103 222462 296616 420206 444924 528529 593232 630309 840412 889848 1057058 1260618 1585587 1680824 1779696 1890927 2114116 2521236 3171174 3361648 3781854 4228232 4756761 5042472 6342348 7563708 8456464 8984993 9513522 10084944 12684696 15127416 17969986 19027044 25369392 26954979 30254832 35939972 38054088 53909958 71879944 76108176 80864937 107819916 143759888 152744881 161729874 215639832 305489762 323459748 431279664 458234643 610979524 646919496 916469286 1221959048 1293838992 1374703929 1832938572 2443918096 2749407858 3665877144 5498815716 7331754288 10997631432 21995262864