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12257521840 = 2451271206449
BaseRepresentation
bin10110110101001101…
…01111000010110000
31011122020200121220101
423122212233002300
5200100411144330
65344145122144
7612516134164
oct133246570260
934566617811
1012257521840
115220062643
122461029354
13120460bb05
14843cd4ca4
154bb18d4ca
hex2da9af0b0

12257521840 has 40 divisors (see below), whose sum is σ = 28723161600. Its totient is φ = 4864398336.

The previous prime is 12257521823. The next prime is 12257521879. The reversal of 12257521840 is 4812575221.

It is a happy number.

12257521840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 12257521840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593065 + ... + 613384.

It is an arithmetic number, because the mean of its divisors is an integer number (718079040).

Almost surely, 212257521840 is an apocalyptic number.

12257521840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12257521840 is an abundant number, since it is smaller than the sum of its proper divisors (16465639760).

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

12257521840 is a wasteful number, since it uses less digits than its factorization.

12257521840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206589 (or 1206583 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The spelling of 12257521840 in words is "twelve billion, two hundred fifty-seven million, five hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 1206449 2412898 4825796 6032245 9651592 12064490 19303184 24128980 48257960 96515920 153219023 306438046 612876092 766095115 1225752184 1532190230 2451504368 3064380460 6128760920 12257521840