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12433104663 = 3729139914593
BaseRepresentation
bin10111001010001001…
…00001111100010111
31012002111002011020220
423211010201330113
5200430333322123
65413420325423
7620050434360
oct134504417427
935074064226
1012433104663
115300188611
1224ab9a3873
131231ac7285
1485d35cb67
154cb7c2ce3
hex2e5121f17

12433104663 has 32 divisors (see below), whose sum is σ = 19614336000. Its totient is φ = 6854270976.

The previous prime is 12433104659. The next prime is 12433104703. The reversal of 12433104663 is 36640133421.

12433104663 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 12433104663 - 22 = 12433104659 is a prime.

It is a super-2 number, since 2×124331046632 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433104263) 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 31 ways as a sum of consecutive naturals, for example, 844695 + ... + 859287.

It is an arithmetic number, because the mean of its divisors is an integer number (612948000).

Almost surely, 212433104663 is an apocalyptic number.

12433104663 is a deficient number, since it is larger than the sum of its proper divisors (7181231337).

12433104663 is a wasteful number, since it uses less digits than its factorization.

12433104663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16031.

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 12433104663 in words is "twelve billion, four hundred thirty-three million, one hundred four thousand, six hundred sixty-three".

Divisors: 1 3 7 21 29 87 203 609 1399 4197 9793 14593 29379 40571 43779 102151 121713 283997 306453 423197 851991 1269591 2962379 8887137 20415607 61246821 142909249 428727747 592052603 1776157809 4144368221 12433104663