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56555136648 = 2332174310110639
BaseRepresentation
bin110100101010111100…
…101110011010001000
312101222102110121121200
4310222330232122020
51411311103333043
641551524504200
74041326505213
oct645274563210
9171872417550
1056555136648
1121a9199a25a
12ab6424b060
135443b56cca
142a4716877a
1517100d77d3
hexd2af2e688

56555136648 has 192 divisors, whose sum is σ = 167610643200. Its totient is φ = 17156966400.

The previous prime is 56555136643. The next prime is 56555136661. The reversal of 56555136648 is 84663155565.

56555136648 is a `hidden beast` number, since 5 + 65 + 5 + 513 + 6 + 64 + 8 = 666.

56555136648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56555136594 and 56555136603.

It is not an unprimeable number, because it can be changed into a prime (56555136643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5310513 + ... + 5321151.

It is an arithmetic number, because the mean of its divisors is an integer number (872972100).

Almost surely, 256555136648 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 56555136648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83805321600).

56555136648 is an abundant number, since it is smaller than the sum of its proper divisors (111055506552).

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

56555136648 is a wasteful number, since it uses less digits than its factorization.

56555136648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10812 (or 10805 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 56555136648 in words is "fifty-six billion, five hundred fifty-five million, one hundred thirty-six thousand, six hundred forty-eight".