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5689916928 = 2935192983
BaseRepresentation
bin1010100110010010…
…10011111000000000
3112200112120201200000
411103021103320000
543123104320203
62340334400000
7261000332043
oct52311237000
915615521600
105689916928
11245a89a893
121129660000
136c8a7a667
143bd972c5a
152347d64a3
hex153253e00

5689916928 has 480 divisors, whose sum is σ = 18767548800. Its totient is φ = 1713954816.

The previous prime is 5689916887. The next prime is 5689916959. The reversal of 5689916928 is 8296199865.

5689916928 is a `hidden beast` number, since 568 + 9 + 9 + 1 + 69 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68553175 + ... + 68553257.

It is an arithmetic number, because the mean of its divisors is an integer number (39099060).

Almost surely, 25689916928 is an apocalyptic number.

5689916928 is a gapful number since it is divisible by the number (58) 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 5689916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383774400).

5689916928 is an abundant number, since it is smaller than the sum of its proper divisors (13077631872).

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

5689916928 is an equidigital number, since it uses as much as digits as its factorization.

5689916928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The square root of 5689916928 is about 75431.5380195844. The cubic root of 5689916928 is about 1785.2620588343.

The spelling of 5689916928 in words is "five billion, six hundred eighty-nine million, nine hundred sixteen thousand, nine hundred twenty-eight".