Search a number
-
+
12793476645 = 32523313731069
BaseRepresentation
bin10111110101000110…
…01111011000100101
31020000121011221200100
423322203033120211
5202200112223040
65513252334313
7632014520505
oct137243173045
936017157610
1012793476645
1154756473a4
122590614399
13128b672431
14895169a05
154ed259b30
hex2fa8cf625

12793476645 has 96 divisors (see below), whose sum is σ = 23972382720. Its totient is φ = 6293168640.

The previous prime is 12793476629. The next prime is 12793476653. The reversal of 12793476645 is 54667439721.

12793476645 is a `hidden beast` number, since 1 + 27 + 93 + 476 + 64 + 5 = 666.

It is not a de Polignac number, because 12793476645 - 24 = 12793476629 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12793476591 and 12793476600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11967171 + ... + 11968239.

It is an arithmetic number, because the mean of its divisors is an integer number (249712320).

Almost surely, 212793476645 is an apocalyptic number.

12793476645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12793476645 is a deficient number, since it is larger than the sum of its proper divisors (11178906075).

12793476645 is a wasteful number, since it uses less digits than its factorization.

12793476645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1504 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 12793476645 in words is "twelve billion, seven hundred ninety-three million, four hundred seventy-six thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 23 31 45 69 93 115 155 207 279 345 373 465 713 1035 1069 1119 1395 1865 2139 3207 3357 3565 5345 5595 6417 8579 9621 10695 11563 16035 16785 24587 25737 32085 33139 34689 42895 48105 57815 73761 77211 99417 104067 122935 128685 165695 173445 221283 265949 298251 368805 386055 398737 497085 520335 762197 797847 1106415 1196211 1329745 1491255 1993685 2286591 2393541 3588633 3810985 3989235 5981055 6859773 9170951 11432955 11967705 12360847 17943165 27512853 34298865 37082541 45854755 61804235 82538559 111247623 137564265 185412705 284299481 412692795 556238115 852898443 1421497405 2558695329 4264492215 12793476645