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12826920766561 = 112313643938677
BaseRepresentation
bin1011101010101000000000…
…0011100100110001100001
31200102020112011101110222021
42322222000003210301201
53140124013204012221
643140334523541441
72462500024366306
oct272520003446141
950366464343867
1012826920766561
1140a5959414a00
121531b3998a881
1372075bac7615
14324b7d43d0ad
151739ce846041
hexbaa800e4c61

12826920766561 has 24 divisors (see below), whose sum is σ = 14557829441792. Its totient is φ = 11281571373600.

The previous prime is 12826920766537. The next prime is 12826920766579. The reversal of 12826920766561 is 16566702962821.

It is not a de Polignac number, because 12826920766561 - 219 = 12826920242273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12826920766561.

It is not an unprimeable number, because it can be changed into a prime (12826920766061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13195555 + ... + 14134231.

Almost surely, 212826920766561 is an apocalyptic number.

12826920766561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12826920766561 is a deficient number, since it is larger than the sum of its proper divisors (1730908675231).

12826920766561 is a wasteful number, since it uses less digits than its factorization.

12826920766561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942373 (or 942362 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 12826920766561 in words is "twelve trillion, eight hundred twenty-six billion, nine hundred twenty million, seven hundred sixty-six thousand, five hundred sixty-one".

Divisors: 1 11 31 121 341 3643 3751 40073 112933 440803 938677 1242263 10325447 13664893 29098987 113579917 320088857 3419600311 3520977427 37615603421 106007609641 413771637631 1166083706051 12826920766561