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56993509440 = 2633573725469
BaseRepresentation
bin110101000101000100…
…111111000001000000
312110002222100021001000
4311011010333001000
51413210314300230
642103224412000
74055231560050
oct650504770100
9173088307030
1056993509440
112219739421a
12b067017000
1354b39125aa
142a8947b560
15173882ab60
hexd4513f040

56993509440 has 448 divisors, whose sum is σ = 236002982400. Its totient is φ = 12674506752.

The previous prime is 56993509439. The next prime is 56993509451. The reversal of 56993509440 is 4490539965.

56993509440 is a `hidden beast` number, since 5 + 6 + 9 + 93 + 509 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×569935094402 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2225026 + ... + 2250494.

Almost surely, 256993509440 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 56993509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118001491200).

56993509440 is an abundant number, since it is smaller than the sum of its proper divisors (179009472960).

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

56993509440 is a wasteful number, since it uses less digits than its factorization.

56993509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25539 (or 25523 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 56993509440 in words is "fifty-six billion, nine hundred ninety-three million, five hundred nine thousand, four hundred forty".