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12685000800 = 253525285417
BaseRepresentation
bin10111101000001010…
…11100000001100000
31012202001001210210110
423310011130001200
5201434330011200
65454415331320
7626226504423
oct136405340140
935661053713
1012685000800
11541a39693a
122560220b40
131272051a44
148849ad9ba
154e397db50
hex2f415c060

12685000800 has 72 divisors (see below), whose sum is σ = 41289685416. Its totient is φ = 3382666240.

The previous prime is 12685000759. The next prime is 12685000807. The reversal of 12685000800 is 800058621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12685000807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2640309 + ... + 2645108.

It is an arithmetic number, because the mean of its divisors is an integer number (573467853).

Almost surely, 212685000800 is an apocalyptic number.

12685000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12685000800 is an abundant number, since it is smaller than the sum of its proper divisors (28604684616).

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

12685000800 is a wasteful number, since it uses less digits than its factorization.

12685000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285440 (or 5285427 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 12685000800 in words is "twelve billion, six hundred eighty-five million, eight hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5285417 10570834 15856251 21141668 26427085 31712502 42283336 52854170 63425004 79281255 84566672 105708340 126850008 132135425 158562510 169133344 211416680 253700016 264270850 317125020 396406275 422833360 507400032 528541700 634250040 792812550 845666720 1057083400 1268500080 1585625100 2114166800 2537000160 3171250200 4228333600 6342500400 12685000800