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56903394240 = 2634572114073
BaseRepresentation
bin110100111111101101…
…001110001111000000
312102212200202221020000
4310333231032033000
51413014232103430
642050245120000
74053055604400
oct647755161700
9172780687200
1056903394240
1122150534350
12b0409b9000
13549b0500a4
142a7b500800
151730979e60
hexd3fb4e3c0

56903394240 has 840 divisors, whose sum is σ = 256931568432. Its totient is φ = 11821178880.

The previous prime is 56903394217. The next prime is 56903394271. The reversal of 56903394240 is 4249330965.

56903394240 is a `hidden beast` number, since 569 + 0 + 3 + 3 + 9 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13968844 + ... + 13972916.

Almost surely, 256903394240 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 56903394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128465784216).

56903394240 is an abundant number, since it is smaller than the sum of its proper divisors (200028174192).

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

56903394240 is a wasteful number, since it uses less digits than its factorization.

56903394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 56903394240 in words is "fifty-six billion, nine hundred three million, three hundred ninety-four thousand, two hundred forty".