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56963723040 = 2534572271331
BaseRepresentation
bin110101000011010011…
…010110111100100000
312110000220021221210000
4311003103112330200
51413130203114130
642100242140000
74054420441200
oct650323267440
9173026257700
1056963723040
112218159a264
12b059051600
1354aa6b38c3
142a85526400
151735de5260
hexd434d6f20

56963723040 has 720 divisors, whose sum is σ = 235428488064. Its totient is φ = 12933043200.

The previous prime is 56963723039. The next prime is 56963723051. The reversal of 56963723040 is 4032736965.

56963723040 is a `hidden beast` number, since 5 + 6 + 9 + 637 + 2 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 172095675 + ... + 172096005.

Almost surely, 256963723040 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 56963723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117714244032).

56963723040 is an abundant number, since it is smaller than the sum of its proper divisors (178464765024).

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

56963723040 is a wasteful number, since it uses less digits than its factorization.

56963723040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 56963723040 in words is "fifty-six billion, nine hundred sixty-three million, seven hundred twenty-three thousand, forty".