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12433344232 = 2323295973541
BaseRepresentation
bin10111001010001010…
…11100011011101000
31012002111112022212211
423211011130123220
5200430414003412
65413425414504
7620052453001
oct134505343350
935074468784
1012433344232
115300331601
1224aba9a434
131231b7c32a
1485d3c21a8
154cb81dca7
hex2e515c6e8

12433344232 has 128 divisors (see below), whose sum is σ = 25989984000. Its totient is φ = 5556418560.

The previous prime is 12433344197. The next prime is 12433344269. The reversal of 12433344232 is 23244333421.

It is a happy number.

12433344232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12433344194 and 12433344203.

It is an unprimeable number.

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, 22981882 + ... + 22982422.

It is an arithmetic number, because the mean of its divisors is an integer number (203046750).

Almost surely, 212433344232 is an apocalyptic number.

It is an amenable number.

12433344232 is an abundant number, since it is smaller than the sum of its proper divisors (13556639768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12433344232 is a wasteful number, since it uses less digits than its factorization.

12433344232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 727 counting only the distinct ones).

The product of its digits is 41472, while the sum is 31.

Adding to 12433344232 its reverse (23244333421), we get a palindrome (35677677653).

The spelling of 12433344232 in words is "twelve billion, four hundred thirty-three million, three hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 23 29 46 58 59 73 92 116 118 146 184 232 236 292 472 541 584 667 1082 1334 1357 1679 1711 2117 2164 2668 2714 3358 3422 4234 4307 4328 5336 5428 6716 6844 8468 8614 10856 12443 13432 13688 15689 16936 17228 24886 31378 31919 34456 39353 39493 48691 49772 62756 63838 78706 78986 97382 99061 99544 124903 125512 127676 157412 157972 194764 198122 249806 255352 314824 315944 360847 389528 396244 499612 721694 734137 792488 908339 925651 999224 1145297 1443388 1468274 1816678 1851302 2290594 2330087 2872769 2886776 2936548 3633356 3702604 4581188 4660174 5745538 5873096 7266712 7405208 9162376 9320348 11491076 18640696 21289973 22982152 26341831 42579946 52683662 53592001 67572523 85159892 105367324 107184002 135145046 170319784 210734648 214368004 270290092 428736008 540580184 1554168029 3108336058 6216672116 12433344232