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56834797824 = 283373833067
BaseRepresentation
bin110100111011100111…
…100011000100000000
312102200220200212122000
4310323213203010000
51412344202012244
642035354544000
74051263545010
oct647347430400
9172626625560
1056834797824
11221158418a2
12b021a38000
135489a833ac
142a72365c40
15172992a169
hexd3b9e3100

56834797824 has 288 divisors, whose sum is σ = 192644874240. Its totient is φ = 16190834688.

The previous prime is 56834797813. The next prime is 56834797837. The reversal of 56834797824 is 42879743865.

56834797824 is a `hidden beast` number, since 5 + 6 + 83 + 479 + 7 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18529539 + ... + 18532605.

Almost surely, 256834797824 is an apocalyptic number.

56834797824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56834797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96322437120).

56834797824 is an abundant number, since it is smaller than the sum of its proper divisors (135810076416).

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

56834797824 is a wasteful number, since it uses less digits than its factorization.

56834797824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3462 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 56834797824 in words is "fifty-six billion, eight hundred thirty-four million, seven hundred ninety-seven thousand, eight hundred twenty-four".