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12272216625 = 325361917623
BaseRepresentation
bin10110110110111101…
…10010101000110001
31011200021100012100200
423123132302220301
5200113141413000
65345432105413
7613055056134
oct133336625061
934607305320
1012272216625
115228389a99
122465b35269
131207685556
14845c3c21b
154bc5e2500
hex2db7b2a31

12272216625 has 48 divisors (see below), whose sum is σ = 22159712640. Its totient is φ = 6534237600.

The previous prime is 12272216599. The next prime is 12272216657. The reversal of 12272216625 is 52661227221.

12272216625 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 2 + 21 + 6 + 625 = 666.

It is not a de Polignac number, because 12272216625 - 29 = 12272216113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12272216625.

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 47 ways as a sum of consecutive naturals, for example, 687564 + ... + 705186.

It is an arithmetic number, because the mean of its divisors is an integer number (461660680).

Almost surely, 212272216625 is an apocalyptic number.

12272216625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12272216625 is a deficient number, since it is larger than the sum of its proper divisors (9887496015).

12272216625 is a wasteful number, since it uses less digits than its factorization.

12272216625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18263 (or 18250 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 12272216625 in words is "twelve billion, two hundred seventy-two million, two hundred sixteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 619 1125 1857 3095 5571 9285 15475 17623 27855 46425 52869 77375 88115 139275 158607 232125 264345 440575 696375 793035 1321725 2202875 3965175 6608625 10908637 19825875 32725911 54543185 98177733 163629555 272715925 490888665 818147775 1363579625 2454443325 4090738875 12272216625