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56603845760 = 2757113832999
BaseRepresentation
bin110100101101110110…
…100010010010000000
312102002211010021221212
4310231312202102000
51411411041031020
642000424505252
74042460515250
oct645566422200
9172084107855
1056603845760
1122007439120
12ab7861b228
135450c7c977
142a4d807960
151714509cc5
hexd2dda2480

56603845760 has 256 divisors, whose sum is σ = 169205760000. Its totient is φ = 17590824960.

The previous prime is 56603845747. The next prime is 56603845769. The reversal of 56603845760 is 6754830665.

It is a junction number, because it is equal to n+sod(n) for n = 56603845699 and 56603845708.

It is not an unprimeable number, because it can be changed into a prime (56603845769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18872741 + ... + 18875739.

It is an arithmetic number, because the mean of its divisors is an integer number (660960000).

Almost surely, 256603845760 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 56603845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84602880000).

56603845760 is an abundant number, since it is smaller than the sum of its proper divisors (112601914240).

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

56603845760 is a wasteful number, since it uses less digits than its factorization.

56603845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 56603845760 in words is "fifty-six billion, six hundred three million, eight hundred forty-five thousand, seven hundred sixty".