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56645234191872 = 293437251147073
BaseRepresentation
bin11001110000100101111110…
…00011111110111000000000
321102120020020202122220110000
430320102333003332320000
524411033414423114442
6320250243352240000
714634324465160614
oct1470227703767000
9242506222586400
1056645234191872
111705a121a65987
12642a2863a0000
13257b812cba681
14ddb90306d344
15683714c13d4c
hex3384bf0fee00

56645234191872 has 400 divisors, whose sum is σ = 174333578780592. Its totient is φ = 18298109952000.

The previous prime is 56645234191813. The next prime is 56645234191901. The reversal of 56645234191872 is 27819143254665.

It is a happy number.

56645234191872 is a `hidden beast` number, since 5 + 6 + 64 + 52 + 341 + 9 + 187 + 2 = 666.

56645234191872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 385076928 + ... + 385224000.

Almost surely, 256645234191872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56645234191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87166789390296).

56645234191872 is an abundant number, since it is smaller than the sum of its proper divisors (117688344588720).

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

56645234191872 is a wasteful number, since it uses less digits than its factorization.

56645234191872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147391 (or 147366 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 56645234191872 in words is "fifty-six trillion, six hundred forty-five billion, two hundred thirty-four million, one hundred ninety-one thousand, eight hundred seventy-two".