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12633460427 = 721770921391
BaseRepresentation
bin10111100010000001…
…10100111011001011
31012121110002021200202
423301000310323023
5201333131213202
65445334522415
7625032433100
oct136100647313
935543067622
1012633460427
1153a3293895
122546b0640b
131264477493
1487bbd4aa7
154de19c802
hex2f1034ecb

12633460427 has 24 divisors (see below), whose sum is σ = 15583216320. Its totient is φ = 10176848640.

The previous prime is 12633460417. The next prime is 12633460547. The reversal of 12633460427 is 72406433621.

12633460427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12633460427 - 210 = 12633459403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12633460417) 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, 579902 + ... + 601292.

It is an arithmetic number, because the mean of its divisors is an integer number (649300680).

Almost surely, 212633460427 is an apocalyptic number.

12633460427 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12633460427 is a deficient number, since it is larger than the sum of its proper divisors (2949755893).

12633460427 is a wasteful number, since it uses less digits than its factorization.

12633460427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22131 (or 22124 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 12633460427 in words is "twelve billion, six hundred thirty-three million, four hundred sixty thousand, four hundred twenty-seven".

Divisors: 1 7 17 49 119 709 833 4963 12053 21391 34741 84371 149737 363647 590597 1048159 2545529 15166219 17818703 106163533 257825723 743144731 1804780061 12633460427