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12794550769 = 721121321132
BaseRepresentation
bin10111110101001110…
…10101100111110001
31020000200012112002201
423322213111213301
5202200401111034
65513331343201
7632026613200
oct137247254761
936020175081
1012794550769
115476210400
122590a51b01
13128b95a300
14895369237
154ed3bd014
hex2fa9d59f1

12794550769 has 81 divisors (see below), whose sum is σ = 17872882209. Its totient is φ = 9121432320.

The previous prime is 12794550763. The next prime is 12794550773. The reversal of 12794550769 is 96705549721.

It is a happy number.

The square root of 12794550769 is 113113.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9547830369 + 3246720400 = 97713^2 + 56980^2 .

It is a de Polignac number, because none of the positive numbers 2k-12794550769 is a prime.

It is a super-2 number, since 2×127945507692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12794550763) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 113226057 + ... + 113226169.

Almost surely, 212794550769 is an apocalyptic number.

12794550769 is the 113113-rd square number.

12794550769 is the 56557-th centered octagonal number.

It is an amenable number.

12794550769 is a deficient number, since it is larger than the sum of its proper divisors (5078331440).

12794550769 is a wasteful number, since it uses less digits than its factorization.

12794550769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 12794550769 in words is "twelve billion, seven hundred ninety-four million, five hundred fifty thousand, seven hundred sixty-nine".

Divisors: 1 7 11 13 49 77 91 113 121 143 169 539 637 791 847 1001 1183 1243 1469 1573 1859 5537 5929 7007 8281 8701 10283 11011 12769 13013 13673 16159 19097 20449 60907 71981 77077 89383 91091 95711 113113 133679 140459 143143 165997 177749 210067 625681 669977 791791 935753 983213 1002001 1161979 1244243 1470469 1545049 1825967 2157961 2310737 6882491 8133853 8709701 10293283 10815343 12781769 15105727 16175159 20085637 23737571 75707401 89472383 105740089 113226113 140599459 166162997 261113281 984196213 1163140979 1827792967 12794550769