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12965152068 = 223211171925899
BaseRepresentation
bin11000001001100100…
…01000010101000100
31020110120012222002100
430010302020111010
5203023034331233
65542304112100
7636200655111
oct140462102504
936416188070
1012965152068
115553543710
12261a005630
1312b80c021b
148adc97908
1550d36b813
hex304c88544

12965152068 has 72 divisors (see below), whose sum is σ = 37855490400. Its totient is φ = 3697724160.

The previous prime is 12965152027. The next prime is 12965152069. The reversal of 12965152068 is 86025156921.

12965152068 is a `hidden beast` number, since 1 + 2 + 9 + 65 + 1 + 520 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (12965152069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956218 + ... + 969681.

It is an arithmetic number, because the mean of its divisors is an integer number (525770700).

Almost surely, 212965152068 is an apocalyptic number.

12965152068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12965152068 is an abundant number, since it is smaller than the sum of its proper divisors (24890338332).

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

12965152068 is a wasteful number, since it uses less digits than its factorization.

12965152068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925937 (or 1925932 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12965152068 in words is "twelve billion, nine hundred sixty-five million, one hundred fifty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 1925899 3851798 5777697 7703596 11555394 17333091 21184889 23110788 32740283 34666182 42369778 63554667 65480566 69332364 84739556 98220849 127109334 130961132 190664001 196441698 254218668 294662547 360143113 381328002 392883396 589325094 720286226 762656004 1080429339 1178650188 1440572452 2160858678 3241288017 4321717356 6482576034 12965152068