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56983227840 = 2635571131307
BaseRepresentation
bin110101000100011101…
…110000110111000000
312110002020222220100000
4311010131300313000
51413200201242330
642102220200000
74055045305410
oct650435606700
9173066886300
1056983227840
1122191601530
12b063699000
1354b17527c6
142a87d62640
151737999560
hexd44770dc0

56983227840 has 1344 divisors, whose sum is σ = 262438944768. Its totient is φ = 11421388800.

The previous prime is 56983227827. The next prime is 56983227887. The reversal of 56983227840 is 4872238965.

56983227840 is a `hidden beast` number, since 569 + 8 + 3 + 2 + 2 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185612967 + ... + 185613273.

It is an arithmetic number, because the mean of its divisors is an integer number (195267072).

Almost surely, 256983227840 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 56983227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131219472384).

56983227840 is an abundant number, since it is smaller than the sum of its proper divisors (205455716928).

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

56983227840 is a wasteful number, since it uses less digits than its factorization.

56983227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 56983227840 in words is "fifty-six billion, nine hundred eighty-three million, two hundred twenty-seven thousand, eight hundred forty".