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12768706845 = 325377668893
BaseRepresentation
bin10111110010001001…
…10000000100011101
31012221212120111220100
423321010300010131
5202122242104340
65511005411313
7631264134366
oct137104600435
935855514810
1012768706845
115462669494
122584269b39
1312864abc4b
14891b5cb6d
154eaeb5830
hex2f913011d

12768706845 has 24 divisors (see below), whose sum is σ = 22730601816. Its totient is φ = 6625922688.

The previous prime is 12768706829. The next prime is 12768706849. The reversal of 12768706845 is 54860786721.

It can be written as a sum of positive squares in 4 ways, for example, as 1051510329 + 11717196516 = 32427^2 + 108246^2 .

It is not a de Polignac number, because 12768706845 - 24 = 12768706829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12768706791 and 12768706800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12768706849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3832782 + ... + 3836111.

It is an arithmetic number, because the mean of its divisors is an integer number (947108409).

Almost surely, 212768706845 is an apocalyptic number.

12768706845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12768706845 is a deficient number, since it is larger than the sum of its proper divisors (9961894971).

12768706845 is a wasteful number, since it uses less digits than its factorization.

12768706845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668941 (or 7668938 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 12768706845 in words is "twelve billion, seven hundred sixty-eight million, seven hundred six thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 7668893 23006679 38344465 69020037 115033395 283749041 345100185 851247123 1418745205 2553741369 4256235615 12768706845