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12856838544 = 24321128592
BaseRepresentation
bin10111111100101001…
…11100100110010000
31020012000102001212100
423332110330212100
5202312322313134
65523434400400
7633414216204
oct137624744620
936160361770
1012856838544
1154a8394100
1225a9890100
13129b828694
1489d740b04
15503ac3999
hex2fe53c990

12856838544 has 135 divisors (see below), whose sum is σ = 39595778859. Its totient is φ = 3891476160.

The previous prime is 12856838539. The next prime is 12856838573. The reversal of 12856838544 is 44583865821.

The square root of 12856838544 is 113388.

It is a perfect power (a square), and thus also a powerful number.

12856838544 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 68 + 38 + 544 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14966787 + ... + 14967645.

Almost surely, 212856838544 is an apocalyptic number.

12856838544 is the 113388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12856838544

12856838544 is an abundant number, since it is smaller than the sum of its proper divisors (26738940315).

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

12856838544 is an equidigital number, since it uses as much as digits as its factorization.

12856838544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 875 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 12856838544 in words is "twelve billion, eight hundred fifty-six million, eight hundred thirty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 859 968 1089 1452 1584 1718 1936 2178 2577 2904 3436 4356 5154 5808 6872 7731 8712 9449 10308 13744 15462 17424 18898 20616 28347 30924 37796 41232 56694 61848 75592 85041 103939 113388 123696 151184 170082 207878 226776 311817 340164 415756 453552 623634 680328 737881 831512 935451 1247268 1360656 1475762 1663024 1870902 2213643 2494536 2951524 3741804 4427286 4989072 5903048 6640929 7483608 8116691 8854572 11806096 13281858 14967216 16233382 17709144 24350073 26563716 32466764 35418288 48700146 53127432 64933528 73050219 89283601 97400292 106254864 129867056 146100438 178567202 194800584 267850803 292200876 357134404 389601168 535701606 584401752 714268808 803552409 1071403212 1168803504 1428537616 1607104818 2142806424 3214209636 4285612848 6428419272 12856838544