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56382064596 = 22321121321929139
BaseRepresentation
bin110100100000101000…
…100000011111010100
312101112100210122101200
4310200220200133110
51410432302031341
641522423152500
74034125433034
oct644050403724
9171470718350
1056382064596
1121a03229700
12ab162a5730
13541703a600
142a2c1958c4
1516eecebdb6
hexd20a207d4

56382064596 has 648 divisors, whose sum is σ = 186047316000. Its totient is φ = 14322147840.

The previous prime is 56382064559. The next prime is 56382064597. The reversal of 56382064596 is 69546028365.

56382064596 is a `hidden beast` number, since 563 + 8 + 20 + 6 + 4 + 59 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56382064597) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 405626295 + ... + 405626433.

Almost surely, 256382064596 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 56382064596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93023658000).

56382064596 is an abundant number, since it is smaller than the sum of its proper divisors (129665251404).

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

56382064596 is a wasteful number, since it uses less digits than its factorization.

56382064596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 56382064596 in words is "fifty-six billion, three hundred eighty-two million, sixty-four thousand, five hundred ninety-six".