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12432166656 = 283713177887
BaseRepresentation
bin10111001010000001…
…11100111100000000
31012002102022111112220
423211000330330000
5200430113313111
65413344251040
7620036446560
oct134500747400
935072274486
1012432166656
1152aa6a78a8
1224ab610a80
131231859340
1485d196da0
154cb689e06
hex2e503cf00

12432166656 has 144 divisors (see below), whose sum is σ = 40723544064. Its totient is φ = 3278794752.

The previous prime is 12432166639. The next prime is 12432166667. The reversal of 12432166656 is 65666123421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19056 + ... + 158831.

Almost surely, 212432166656 is an apocalyptic number.

12432166656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12432166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20361772032).

12432166656 is an abundant number, since it is smaller than the sum of its proper divisors (28291377408).

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

12432166656 is a wasteful number, since it uses less digits than its factorization.

12432166656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177926 (or 177912 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 12432166656 in words is "twelve billion, four hundred thirty-two million, one hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 23296 34944 69888 177887 355774 533661 711548 1067322 1245209 1423096 2134644 2312531 2490418 2846192 3735627 4269288 4625062 4980836 5692384 6937593 7471254 8538576 9250124 9961672 11384768 13875186 14942508 16187717 17077152 18500248 19923344 22769536 27750372 29885016 32375434 34154304 37000496 39846688 45539072 48563151 55500744 59770032 64750868 68308608 74000992 79693376 97126302 111001488 119540064 129501736 136617216 148001984 159386752 194252604 222002976 239080128 259003472 296003968 318773504 388505208 444005952 478160256 518006944 592007936 777010416 888011904 956320512 1036013888 1554020832 1776023808 2072027776 3108041664 4144055552 6216083328 12432166656