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12675536784 = 2432475233581
BaseRepresentation
bin10111100111000010…
…10101011110010000
31012201101020222121100
423303201111132100
5201424414134114
65453440424400
7626053166511
oct136341253620
935641228540
1012675536784
115415012439
122559018100
1312700ba131
14883628a08
154e2c0e909
hex2f3855790

12675536784 has 120 divisors (see below), whose sum is σ = 36308068992. Its totient is φ = 4126222080.

The previous prime is 12675536779. The next prime is 12675536801. The reversal of 12675536784 is 48763557621.

12675536784 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 553 + 6 + 7 + 84 = 666.

12675536784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12675536784.

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 23 ways as a sum of consecutive naturals, for example, 3537874 + ... + 3541454.

Almost surely, 212675536784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12675536784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154034496).

12675536784 is an abundant number, since it is smaller than the sum of its proper divisors (23632532208).

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

12675536784 is a wasteful number, since it uses less digits than its factorization.

12675536784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4156 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 12675536784 in words is "twelve billion, six hundred seventy-five million, five hundred thirty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 523 564 752 846 1046 1128 1569 1692 2092 2256 3138 3384 3581 4184 4707 6276 6768 7162 8368 9414 10743 12552 14324 18828 21486 24581 25104 28648 32229 37656 42972 49162 57296 64458 73743 75312 85944 98324 128916 147486 168307 171888 196648 221229 257832 294972 336614 393296 442458 504921 515664 589944 673228 884916 1009842 1179888 1346456 1514763 1769832 1872863 2019684 2692912 3029526 3539664 3745726 4039368 5618589 6059052 7491452 8078736 11237178 12118104 14982904 16855767 22474356 24236208 29965808 33711534 44948712 67423068 88024561 89897424 134846136 176049122 264073683 269692272 352098244 528147366 704196488 792221049 1056294732 1408392976 1584442098 2112589464 3168884196 4225178928 6337768392 12675536784