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12431334663 = 3211217963773
BaseRepresentation
bin10111001001111011…
…10001110100000111
31012002100202020021100
423210331301310013
5200424410202123
65413314351143
7620026413126
oct134475616407
935070666240
1012431334663
1152aa189800
1224ab28b4b3
131231627737
1485d01babd
154cb573643
hex2e4f71d07

12431334663 has 36 divisors (see below), whose sum is σ = 19847744280. Its totient is φ = 7491934560.

The previous prime is 12431334659. The next prime is 12431334697. The reversal of 12431334663 is 36643313421.

12431334663 is a `hidden beast` number, since 1 + 243 + 13 + 346 + 63 = 666.

It is not a de Polignac number, because 12431334663 - 22 = 12431334659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431334163) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 163045 + ... + 226817.

It is an arithmetic number, because the mean of its divisors is an integer number (551326230).

Almost surely, 212431334663 is an apocalyptic number.

12431334663 is a deficient number, since it is larger than the sum of its proper divisors (7416409617).

12431334663 is a wasteful number, since it uses less digits than its factorization.

12431334663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63980 (or 63966 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 12431334663 in words is "twelve billion, four hundred thirty-one million, three hundred thirty-four thousand, six hundred sixty-three".

Divisors: 1 3 9 11 33 99 121 179 363 537 1089 1611 1969 5907 17721 21659 63773 64977 191319 194931 573957 701503 2104509 6313527 7716533 11415367 23149599 34246101 69448797 102738303 125569037 376707111 1130121333 1381259407 4143778221 12431334663