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20493692779104 = 2532411819588823
BaseRepresentation
bin1001010100011100011110…
…10001110011101001100000
32200120011210200112012101100
410222032033101303221200
510141232040322412404
6111330401131434400
74213422545300166
oct452161721635140
980504720465340
1020493692779104
116591365339086
12236b9942b5a00
13b5871580a32c
1450bc8593d236
1525814bde7d39
hex12a38f473a60

20493692779104 has 144 divisors (see below), whose sum is σ = 60030218967264. Its totient is φ = 6627793766400.

The previous prime is 20493692779069. The next prime is 20493692779111. The reversal of 20493692779104 is 40197729639402.

20493692779104 is a `hidden beast` number, since 2 + 0 + 493 + 69 + 2 + 7 + 79 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2657164 + ... + 6931659.

It is an arithmetic number, because the mean of its divisors is an integer number (416876520606).

Almost surely, 220493692779104 is an apocalyptic number.

20493692779104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20493692779104 is an abundant number, since it is smaller than the sum of its proper divisors (39536526188160).

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

20493692779104 is a wasteful number, since it uses less digits than its factorization.

20493692779104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9589061 (or 9589050 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 20493692779104 in words is "twenty trillion, four hundred ninety-three billion, six hundred ninety-two million, seven hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 181 246 288 328 362 369 492 543 656 724 738 984 1086 1312 1448 1476 1629 1968 2172 2896 2952 3258 3936 4344 5792 5904 6516 7421 8688 11808 13032 14842 17376 22263 26064 29684 44526 52128 59368 66789 89052 118736 133578 178104 237472 267156 356208 534312 712416 1068624 2137248 9588823 19177646 28766469 38355292 57532938 76710584 86299407 115065876 153421168 172598814 230131752 306842336 345197628 393141743 460263504 690395256 786283486 920527008 1179425229 1380790512 1572566972 1735576963 2358850458 2761581024 3145133944 3471153926 3538275687 4717700916 5206730889 6290267888 6942307852 7076551374 9435401832 10413461778 12580535776 13884615704 14153102748 15620192667 18870803664 20826923556 27769231408 28306205496 31240385334 37741607328 41653847112 55538462816 56612410992 62480770668 71158655483 83307694224 113224821984 124961541336 142317310966 166615388448 213475966449 249923082672 284634621932 426951932898 499846165344 569269243864 640427899347 853903865796 1138538487728 1280855798694 1707807731592 2277076975456 2561711597388 3415615463184 5123423194776 6831230926368 10246846389552 20493692779104