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20202440626656 = 2533199117499771
BaseRepresentation
bin1001001011111101111110…
…10011000001000111100000
32122112100000211012212112000
410211332333103001013200
510121444044300023111
6110544512331204000
74153402211660331
oct445767723010740
978470024185460
1020202440626656
11648989706a162
1223234505a6600
13b3710b1446a2
144dbb36536288
152507a2708c56
hex125fbf4c11e0

20202440626656 has 96 divisors (see below), whose sum is σ = 59219885088000. Its totient is φ = 6700306884480.

The previous prime is 20202440626639. The next prime is 20202440626699. The reversal of 20202440626656 is 65662604420202.

20202440626656 is a `hidden beast` number, since 20 + 20 + 2 + 440 + 62 + 66 + 56 = 666.

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

It is a congruent number.

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, 58577950 + ... + 58921821.

It is an arithmetic number, because the mean of its divisors is an integer number (616873803000).

Almost surely, 220202440626656 is an apocalyptic number.

It is an amenable number.

20202440626656 is an abundant number, since it is smaller than the sum of its proper divisors (39017444461344).

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

20202440626656 is a wasteful number, since it uses less digits than its factorization.

20202440626656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117499989 (or 117499975 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 20202440626656 in words is "twenty trillion, two hundred two billion, four hundred forty million, six hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 199 216 288 398 432 597 796 864 1194 1592 1791 2388 3184 3582 4776 5373 6368 7164 9552 10746 14328 19104 21492 28656 42984 57312 85968 171936 117499771 234999542 352499313 469999084 704998626 939998168 1057497939 1409997252 1879996336 2114995878 2819994504 3172493817 3759992672 4229991756 5639989008 6344987634 8459983512 11279978016 12689975268 16919967024 23382454429 25379950536 33839934048 46764908858 50759901072 70147363287 93529817716 101519802144 140294726574 187059635432 210442089861 280589453148 374119270864 420884179722 561178906296 631326269583 748238541728 841768359444 1122357812592 1262652539166 1683536718888 2244715625184 2525305078332 3367073437776 5050610156664 6734146875552 10101220313328 20202440626656