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5726656656 = 24327323712
BaseRepresentation
bin1010101010101010…
…11101100010010000
3112210002201022002200
411111111131202100
543212011003111
62344130043200
7261624531000
oct52525354220
915702638080
105726656656
1124796039a6
121139a19500
13703572246
143c47b8000
15237b42256
hex15555d890

5726656656 has 360 divisors, whose sum is σ = 19781174400. Its totient is φ = 1543006080.

The previous prime is 5726656597. The next prime is 5726656667. The reversal of 5726656656 is 6566566275.

5726656656 is a `hidden beast` number, since 5 + 7 + 26 + 6 + 566 + 56 = 666.

Its product of digits (13608000) is a multiple of the sum of its prime factors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80657101 + ... + 80657171.

Almost surely, 25726656656 is an apocalyptic number.

5726656656 is a gapful number since it is divisible by the number (56) 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 5726656656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890587200).

5726656656 is an abundant number, since it is smaller than the sum of its proper divisors (14054517744).

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

5726656656 is a wasteful number, since it uses less digits than its factorization.

5726656656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 106 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The square root of 5726656656 is about 75674.6764512409. The cubic root of 5726656656 is about 1789.0962902850.

The spelling of 5726656656 in words is "five billion, seven hundred twenty-six million, six hundred fifty-six thousand, six hundred fifty-six".