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12785825642304 = 2631113465684209
BaseRepresentation
bin1011101000001110111010…
…0110000111011101000000
31200021022110011122212102010
42322003232212013131000
53133440332331023204
643105421024452520
72456513451530361
oct272035646073500
950238404585363
1012785825642304
11408a4902818a0
121525b8b17a140
1371990cbb0750
14322ba1641b68
151728c6b3cd89
hexba0ee987740

12785825642304 has 112 divisors (see below), whose sum is σ = 39743353218240. Its totient is φ = 3576454717440.

The previous prime is 12785825642279. The next prime is 12785825642309. The reversal of 12785825642304 is 40324652858721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12785825642309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232814649 + ... + 232869560.

It is an arithmetic number, because the mean of its divisors is an integer number (354851368020).

Almost surely, 212785825642304 is an apocalyptic number.

It is an amenable number.

12785825642304 is an abundant number, since it is smaller than the sum of its proper divisors (26957527575936).

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

12785825642304 is a wasteful number, since it uses less digits than its factorization.

12785825642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465684248 (or 465684238 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 12785825642304 in words is "twelve trillion, seven hundred eighty-five billion, eight hundred twenty-five million, six hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 27456 465684209 931368418 1397052627 1862736836 2794105254 3725473672 5122526299 5588210508 6053894717 7450947344 10245052598 11176421016 12107789434 14901894688 15367578897 18161684151 20490105196 22352842032 24215578868 29803789376 30735157794 36323368302 40980210392 44705684064 48431157736 61470315588 66592841887 72646736604 81960420784 89411368128 96862315472 122940631176 133185683774 145293473208 163920841568 193724630944 199778525661 245881262352 266371367548 290586946416 327841683136 387449261888 399557051322 491762524704 532742735096 581173892832 799114102644 983525049408 1065485470192 1162347785664 1598228205288 2130970940384 3196456410576 4261941880768 6392912821152 12785825642304