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12768442024 = 2313337364313
BaseRepresentation
bin10111110010000111…
…01111011010101000
31012221212002001122011
423321003233122220
5202122210121044
65511000005304
7631261652332
oct137103573250
935855061564
1012768442024
1154624a8528
122584160834
131286418550
14891ad0452
154eae62134
hex2f90ef6a8

12768442024 has 32 divisors (see below), whose sum is σ = 25859007720. Its totient is φ = 5875623936.

The previous prime is 12768442009. The next prime is 12768442051. The reversal of 12768442024 is 42024486721.

It can be written as a sum of positive squares in 4 ways, for example, as 6867436900 + 5901005124 = 82870^2 + 76818^2 .

It is a super-2 number, since 2×127684420242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147109 + ... + 217204.

Almost surely, 212768442024 is an apocalyptic number.

It is an amenable number.

12768442024 is an abundant number, since it is smaller than the sum of its proper divisors (13090565696).

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

12768442024 is a wasteful number, since it uses less digits than its factorization.

12768442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364669 (or 364665 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 12768442024 in words is "twelve billion, seven hundred sixty-eight million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 337 674 1348 2696 4381 8762 17524 35048 364313 728626 1457252 2914504 4736069 9472138 18944276 37888552 122773481 245546962 491093924 982187848 1596055253 3192110506 6384221012 12768442024