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12668435928 = 23321271385437
BaseRepresentation
bin10111100110001100…
…01111110111011000
31012200212220020001200
423303012033313120
5201421104422203
65453024314200
7625635633351
oct136306176730
935625806050
1012668435928
115411002465
122556772960
13126b7a2045
148826dad28
154e22aa9a3
hex2f318fdd8

12668435928 has 48 divisors (see below), whose sum is σ = 34580532480. Its totient is φ = 4189558464.

The previous prime is 12668435917. The next prime is 12668435981. The reversal of 12668435928 is 82953486621.

12668435928 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 8 + 43 + 592 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 683575 + ... + 701862.

It is an arithmetic number, because the mean of its divisors is an integer number (720427760).

Almost surely, 212668435928 is an apocalyptic number.

12668435928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12668435928 is an abundant number, since it is smaller than the sum of its proper divisors (21912096552).

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

12668435928 is a wasteful number, since it uses less digits than its factorization.

12668435928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385576 (or 1385569 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 12668435928 in words is "twelve billion, six hundred sixty-eight million, four hundred thirty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 1385437 2770874 4156311 5541748 8312622 11083496 12468933 16625244 24937866 33250488 49875732 99751464 175950499 351900998 527851497 703801996 1055702994 1407603992 1583554491 2111405988 3167108982 4222811976 6334217964 12668435928