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12428663520 = 2535713284539
BaseRepresentation
bin10111001001100111…
…00101101011100000
31012002011201112011010
423210303211223200
5200423214213040
65413141220520
7616664616420
oct134463455340
935064645133
1012428663520
1152a8724949
1224aa401740
131230c00990
1485c924480
154cb1e6e80
hex2e4ce5ae0

12428663520 has 192 divisors, whose sum is σ = 48185141760. Its totient is φ = 2622302208.

The previous prime is 12428663519. The next prime is 12428663531. The reversal of 12428663520 is 2536682421.

12428663520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 98590 + ... + 185949.

It is an arithmetic number, because the mean of its divisors is an integer number (250964280).

Almost surely, 212428663520 is an apocalyptic number.

12428663520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12428663520 is an abundant number, since it is smaller than the sum of its proper divisors (35756478240).

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

12428663520 is a wasteful number, since it uses less digits than its factorization.

12428663520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284577 (or 284569 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 12428663520 in words is "twelve billion, four hundred twenty-eight million, six hundred sixty-three thousand, five hundred twenty".