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22117682008656 = 2434131312777897
BaseRepresentation
bin1010000011101101011001…
…00101000101001001010000
32220022102121021202210210000
411001312230211011021100
510344334003043234111
6115012420045010000
74441643531056053
oct501665445051120
986272537683700
1022117682008656
117058068983813
12259267ab53900
13c458c472b250
14566704260a9a
152854e9591c56
hex141dac945250

22117682008656 has 100 divisors (see below), whose sum is σ = 68939218535572. Its totient is φ = 6805440612864.

The previous prime is 22117682008619. The next prime is 22117682008663. The reversal of 22117682008656 is 65680028671122.

It can be written as a sum of positive squares in 2 ways, for example, as 4488465960000 + 17629216048656 = 2118600^2 + 4198716^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 656372101 + ... + 656405796.

Almost surely, 222117682008656 is an apocalyptic number.

22117682008656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

22117682008656 is an abundant number, since it is smaller than the sum of its proper divisors (46821536526916).

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

22117682008656 is a wasteful number, since it uses less digits than its factorization.

22117682008656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312777930 (or 1312777915 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 22117682008656 in words is "twenty-two trillion, one hundred seventeen billion, six hundred eighty-two million, eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 1312777897 2625555794 3938333691 5251111588 7876667382 10502223176 11815001073 15753334764 17066112661 21004446352 23630002146 31506669528 34132225322 35445003219 47260004292 51198337983 63013339056 68264450644 70890006438 94520008584 102396675966 106335009657 136528901288 141780012876 153595013949 189040017168 204793351932 212670019314 273057802576 283560025752 307190027898 409586703864 425340038628 460785041847 567120051504 614380055796 819173407728 850680077256 921570083694 1228760111592 1382355125541 1701360154512 1843140167388 2457520223184 2764710251082 3686280334776 5529420502164 7372560669552 11058841004328 22117682008656