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56433809880 = 2332571931193197
BaseRepresentation
bin110100100011101101…
…111001100111011000
312101122222011120120200
4310203231321213120
51411034023404010
641531512222200
74035324316650
oct644355714730
9171588146520
1056433809880
1121a2a4616a8
12ab2b69a960
135424987216
142a34dc5360
15170461dcc0
hexd23b799d8

56433809880 has 768 divisors, whose sum is σ = 230103244800. Its totient is φ = 11705057280.

The previous prime is 56433809863. The next prime is 56433809891. The reversal of 56433809880 is 8890833465.

It is a happy number.

56433809880 is a `hidden beast` number, since 56 + 433 + 80 + 9 + 8 + 80 = 666.

It is a super-2 number, since 2×564338098802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 286465942 + ... + 286466138.

It is an arithmetic number, because the mean of its divisors is an integer number (299613600).

Almost surely, 256433809880 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 56433809880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115051622400).

56433809880 is an abundant number, since it is smaller than the sum of its proper divisors (173669434920).

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

56433809880 is a wasteful number, since it uses less digits than its factorization.

56433809880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 56433809880 in words is "fifty-six billion, four hundred thirty-three million, eight hundred nine thousand, eight hundred eighty".