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12973761864 = 2332725741591
BaseRepresentation
bin11000001010100101…
…11110010101001000
31020111011102101111200
430011102332111020
5203032240334424
65543212424200
7636334104420
oct140522762510
936434371450
1012973761864
115558394348
122620a78060
1312b9b1608b
148b1099480
1550debc8c9
hex3054be548

12973761864 has 48 divisors (see below), whose sum is σ = 40156883520. Its totient is φ = 3706788960.

The previous prime is 12973761841. The next prime is 12973761901. The reversal of 12973761864 is 46816737921.

12973761864 is a `hidden beast` number, since 1 + 2 + 97 + 376 + 186 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12973761864.

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, 12870292 + ... + 12871299.

It is an arithmetic number, because the mean of its divisors is an integer number (836601740).

Almost surely, 212973761864 is an apocalyptic number.

12973761864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12973761864 is an abundant number, since it is smaller than the sum of its proper divisors (27183121656).

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

12973761864 is a wasteful number, since it uses less digits than its factorization.

12973761864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25741610 (or 25741603 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 12973761864 in words is "twelve billion, nine hundred seventy-three million, seven hundred sixty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 25741591 51483182 77224773 102966364 154449546 180191137 205932728 231674319 308899092 360382274 463348638 540573411 617798184 720764548 926697276 1081146822 1441529096 1621720233 1853394552 2162293644 3243440466 4324587288 6486880932 12973761864