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12641365648 = 2417200323203
BaseRepresentation
bin10111100010111101…
…11110111010010000
31012121222221220121201
423301132332322100
5201342142200043
65450220200544
7625156556302
oct136136767220
935558856551
1012641365648
1153a77a312a
122549699154
131265cb4722
1487cc91972
154dec0ec4d
hex2f17bee90

12641365648 has 40 divisors (see below), whose sum is σ = 25947455328. Its totient is φ = 5945651712.

The previous prime is 12641365643. The next prime is 12641365657. The reversal of 12641365648 is 84656314621.

It is a super-3 number, since 3×126413656483 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12641365598 and 12641365607.

It is not an unprimeable number, because it can be changed into a prime (12641365643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533215 + ... + 556417.

Almost surely, 212641365648 is an apocalyptic number.

It is an amenable number.

12641365648 is an abundant number, since it is smaller than the sum of its proper divisors (13306089680).

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

12641365648 is a wasteful number, since it uses less digits than its factorization.

12641365648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25231 (or 25225 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The spelling of 12641365648 in words is "twelve billion, six hundred forty-one million, three hundred sixty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 2003 4006 8012 16024 23203 32048 34051 46406 68102 92812 136204 185624 272408 371248 394451 544816 788902 1577804 3155608 6311216 46475609 92951218 185902436 371804872 743609744 790085353 1580170706 3160341412 6320682824 12641365648