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56030135760 = 243251315031181
BaseRepresentation
bin110100001011101010…
…000000010111010000
312100121211120210210100
4310023222000113100
51404222203321020
641423452132400
74022323203324
oct641352002720
9170554523710
1056030135760
1121842607325
12aa38467100
13538c15a4b1
1429d7545984
1516cde81a90
hexd0ba805d0

56030135760 has 240 divisors, whose sum is σ = 190142080128. Its totient is φ = 14785305600.

The previous prime is 56030135731. The next prime is 56030135813. The reversal of 56030135760 is 6753103065.

It is a happy number.

56030135760 is a `hidden beast` number, since 56 + 0 + 30 + 1 + 3 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×560301357602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47442370 + ... + 47443550.

Almost surely, 256030135760 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 56030135760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95071040064).

56030135760 is an abundant number, since it is smaller than the sum of its proper divisors (134111944368).

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

56030135760 is a wasteful number, since it uses less digits than its factorization.

56030135760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 56030135760 in words is "fifty-six billion, thirty million, one hundred thirty-five thousand, seven hundred sixty".