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12682384326 = 235157347479
BaseRepresentation
bin10111100111110110…
…11101001111000110
31012201212010212200000
423303323131033012
5201433142244301
65454243302130
7626165326263
oct136373351706
935655125600
1012682384326
11541896a067
12255b37a946
131271646b31
148844cc26a
154e3613786
hex2f3edd3c6

12682384326 has 96 divisors (see below), whose sum is σ = 28820413440. Its totient is φ = 4179685536.

The previous prime is 12682384289. The next prime is 12682384333. The reversal of 12682384326 is 62348328621.

12682384326 is a `hidden beast` number, since 1 + 268 + 2 + 384 + 3 + 2 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26476555 + ... + 26477033.

It is an arithmetic number, because the mean of its divisors is an integer number (300212640).

Almost surely, 212682384326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12682384326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410206720).

12682384326 is an abundant number, since it is smaller than the sum of its proper divisors (16138029114).

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

12682384326 is a wasteful number, since it uses less digits than its factorization.

12682384326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 988 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 12682384326 in words is "twelve billion, six hundred eighty-two million, three hundred eighty-four thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 243 314 347 471 479 486 694 942 958 1041 1413 1437 2082 2826 2874 3123 4239 4311 6246 8478 8622 9369 12717 12933 18738 25434 25866 28107 38151 38799 54479 56214 75203 76302 77598 84321 108958 116397 150406 163437 166213 168642 225609 232794 326874 332426 451218 490311 498639 676827 980622 997278 1353654 1470933 1495917 2030481 2941866 2991834 4060962 4412799 4487751 6091443 8825598 8975502 12182886 13238397 13463253 18274329 26095441 26476794 26926506 36548658 40389759 52190882 78286323 80779518 156572646 234858969 469717938 704576907 1409153814 2113730721 4227461442 6341192163 12682384326