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5685205824 = 263217617941
BaseRepresentation
bin1010100101101110…
…10101101101000000
3112200012201101020200
411102313111231000
543120403041244
62340045405200
7260612311044
oct52267255500
915605641220
105685205824
112458172311
121127b69800
136c7abb21c
143bd0a8024
152341a5669
hex152dd5b40

5685205824 has 168 divisors, whose sum is σ = 17300512008. Its totient is φ = 1778810880.

The previous prime is 5685205817. The next prime is 5685205831. The reversal of 5685205824 is 4285025865.

It is a happy number.

5685205824 is a `hidden beast` number, since 5 + 68 + 5 + 2 + 0 + 582 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5685205817) and next prime (5685205831).

It can be written as a sum of positive squares in 4 ways, for example, as 476985600 + 5208220224 = 21840^2 + 72168^2 .

It is a super-2 number, since 2×56852058242 = 64643130522487037952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5685205824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6041194 + ... + 6042134.

Almost surely, 25685205824 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 5685205824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8650256004).

5685205824 is an abundant number, since it is smaller than the sum of its proper divisors (11615306184).

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

5685205824 is a wasteful number, since it uses less digits than its factorization.

5685205824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5685205824 is about 75400.3038720667. The cubic root of 5685205824 is about 1784.7692058547.

The spelling of 5685205824 in words is "five billion, six hundred eighty-five million, two hundred five thousand, eight hundred twenty-four".