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56020901040 = 2432513173141277
BaseRepresentation
bin110100001011000110…
…110001110010110000
312100121012012122010200
4310023012301302300
51404212322313130
641422522155200
74022151542046
oct641306616260
9170535178120
1056020901040
112183837a125
12aa35352b00
13538a276070
1429d6220396
1516cd25a760
hexd0b1b1cb0

56020901040 has 960 divisors, whose sum is σ = 227667428352. Its totient is φ = 12209356800.

The previous prime is 56020900979. The next prime is 56020901117. The reversal of 56020901040 is 4010902065.

56020901040 is a `hidden beast` number, since 5 + 602 + 0 + 9 + 0 + 10 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56020900995 and 56020901013.

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, 202241382 + ... + 202241658.

Almost surely, 256020901040 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 56020901040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113833714176).

56020901040 is an abundant number, since it is smaller than the sum of its proper divisors (171646527312).

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

56020901040 is a wasteful number, since it uses less digits than its factorization.

56020901040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 56020901040 in words is "fifty-six billion, twenty million, nine hundred one thousand, forty".