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12972663 = 3311311409
BaseRepresentation
bin110001011111…
…001001110111
3220102002011000
4301133021313
511310111123
61142014343
7215160114
oct61371167
926362130
1012972663
117360610
1244173b3
1328c2942
141a1990b
151213b43
hexc5f277

12972663 has 32 divisors (see below), whose sum is σ = 21657600. Its totient is φ = 7603200.

The previous prime is 12972637. The next prime is 12972671. The reversal of 12972663 is 36627921.

It is not a de Polignac number, because 12972663 - 212 = 12968567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8503 + ... + 9911.

It is an arithmetic number, because the mean of its divisors is an integer number (676800).

Almost surely, 212972663 is an apocalyptic number.

12972663 is a deficient number, since it is larger than the sum of its proper divisors (8684937).

12972663 is a wasteful number, since it uses less digits than its factorization.

12972663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1454 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 12972663 is about 3601.7583205984. The cubic root of 12972663 is about 234.9685366055.

The spelling of 12972663 in words is "twelve million, nine hundred seventy-two thousand, six hundred sixty-three".

Divisors: 1 3 9 11 27 31 33 93 99 279 297 341 837 1023 1409 3069 4227 9207 12681 15499 38043 43679 46497 131037 139491 393111 418473 480469 1179333 1441407 4324221 12972663