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20957457267906 = 235979898420119
BaseRepresentation
bin1001100001111100010011…
…10010111011110011000010
32202012111212020020012221120
410300332021302323303002
510221331333030033111
6112323420054133110
74262061220354005
oct460761162736302
982174766205846
1020957457267906
11675000a2a4705
122425842051196
13b90383788603
145264bc52153c
15265241798406
hex130f89cbbcc2

20957457267906 has 64 divisors (see below), whose sum is σ = 43649902080000. Its totient is φ = 6704300034432.

The previous prime is 20957457267863. The next prime is 20957457267907. The reversal of 20957457267906 is 60976275475902.

It is a super-2 number, since 2×209574572679062 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20957457267907) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1721086 + ... + 6699033.

It is an arithmetic number, because the mean of its divisors is an integer number (682029720000).

Almost surely, 220957457267906 is an apocalyptic number.

20957457267906 is an abundant number, since it is smaller than the sum of its proper divisors (22692444812094).

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

20957457267906 is a wasteful number, since it uses less digits than its factorization.

20957457267906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420351.

The product of its (nonzero) digits is 400075200, while the sum is 69.

The spelling of 20957457267906 in words is "twenty trillion, nine hundred fifty-seven billion, four hundred fifty-seven million, two hundred sixty-seven thousand, nine hundred six".

Divisors: 1 2 3 6 59 79 89 118 158 177 178 237 267 354 474 534 4661 5251 7031 9322 10502 13983 14062 15753 21093 27966 31506 42186 414829 829658 1244487 2488974 8420119 16840238 25260357 50520714 496787021 665189401 749390591 993574042 1330378802 1490361063 1498781182 1995568203 2248171773 2980722126 3991136406 4496343546 39246174659 44214044869 59201856689 78492349318 88428089738 117738523977 118403713378 132642134607 177605570067 235477047954 265284269214 355211140134 3492909544651 6985819089302 10478728633953 20957457267906