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12847468907520 = 21033513219103281
BaseRepresentation
bin1011101011110100100011…
…0100100000110000000000
31200111012120012100012021000
42322331020310200300000
53140443104020020040
643154013513532000
72464125153612642
oct272751064406000
950435505305230
1012847468907520
1141036432a1385
121535b13414000
13722684c11500
14325b6c44c892
151742d3789130
hexbaf48d20c00

12847468907520 has 2112 divisors, whose sum is σ = 52734231014400. Its totient is φ = 2956363038720.

The previous prime is 12847468907477. The next prime is 12847468907561. The reversal of 12847468907520 is 2570986474821.

It is a happy number.

12847468907520 is a `hidden beast` number, since 1 + 2 + 8 + 47 + 4 + 68 + 9 + 0 + 7 + 520 = 666.

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 191 ways as a sum of consecutive naturals, for example, 45720529780 + ... + 45720530060.

Almost surely, 212847468907520 is an apocalyptic number.

12847468907520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12847468907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26367115507200).

12847468907520 is an abundant number, since it is smaller than the sum of its proper divisors (39886762106880).

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

12847468907520 is a wasteful number, since it uses less digits than its factorization.

12847468907520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 12847468907520 in words is "twelve trillion, eight hundred forty-seven billion, four hundred sixty-eight million, nine hundred seven thousand, five hundred twenty".