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20957426138704 = 24111777333120117
BaseRepresentation
bin1001100001111100001111…
…11100001011111001010000
32202012111210001122200201011
410300332013330023321100
510221331302042414304
6112323413023020304
74262060361643216
oct460760774137120
982174701580634
1020957426138704
11674aaa37728a0
12242583373a694
13b9037a1a9673
145264b833acb6
1526523db99c04
hex130f87f0be50

20957426138704 has 80 divisors (see below), whose sum is σ = 44336815137216. Its totient is φ = 9517410662400.

The previous prime is 20957426138659. The next prime is 20957426138711. The reversal of 20957426138704 is 40783162475902.

20957426138704 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 1041766854 + ... + 1041786970.

It is a 1-persistent number, because it is pandigital, but 2⋅20957426138704 = 41914852277408 is not.

Almost surely, 220957426138704 is an apocalyptic number.

It is an amenable number.

20957426138704 is an abundant number, since it is smaller than the sum of its proper divisors (23379388998512).

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

20957426138704 is a wasteful number, since it uses less digits than its factorization.

20957426138704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25244 (or 25238 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 20957426138704 in words is "twenty trillion, nine hundred fifty-seven billion, four hundred twenty-six million, one hundred thirty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 1777 3331 3554 6662 7108 13324 14216 19547 20117 26648 28432 36641 39094 40234 53296 73282 78188 80468 146564 156376 160936 221287 293128 312752 321872 442574 586256 885148 1770296 3540592 5919187 11838374 23676748 35747909 47353496 65111057 67009727 71495818 94706992 130222114 134019454 142991636 260444228 268038908 285983272 393226999 520888456 536077816 571966544 737106997 786453998 1041776912 1072155632 1474213994 1572907996 2948427988 3145815992 5896855976 6291631984 11793711952 119076284879 238152569758 476305139516 952610279032 1309839133669 1905220558064 2619678267338 5239356534676 10478713069352 20957426138704