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56335011840 = 212335101879
BaseRepresentation
bin110100011101110101…
…000001000000000000
312101102002021010011000
4310131311001000000
51410333230334330
641514022452000
74033014462012
oct643565010000
9171362233130
1056335011840
1121989711228
12ab02594000
13540a374843
142a25c281b2
1516eab05560
hexd1dd41000

56335011840 has 208 divisors, whose sum is σ = 200279779200. Its totient is φ = 15022522368.

The previous prime is 56335011833. The next prime is 56335011853. The reversal of 56335011840 is 4811053365.

56335011840 is a `hidden beast` number, since 5 + 633 + 5 + 0 + 1 + 18 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 56335011795 and 56335011804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502021 + ... + 603899.

Almost surely, 256335011840 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 56335011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100139889600).

56335011840 is an abundant number, since it is smaller than the sum of its proper divisors (143944767360).

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

56335011840 is a wasteful number, since it uses less digits than its factorization.

56335011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101917 (or 101889 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 56335011840 in words is "fifty-six billion, three hundred thirty-five million, eleven thousand, eight hundred forty".