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5288816960 = 265721719841
BaseRepresentation
bin1001110110011110…
…01111000101000000
3111122120211201221122
410323033033011000
541312414120320
62232445411412
7245030126300
oct47317170500
914576751848
105288816960
112274443509
121037269b68
136639424bb
143825a3600
1520e4a6d25
hex13b3cf140

5288816960 has 168 divisors, whose sum is σ = 15512713704. Its totient is φ = 1706557440.

The previous prime is 5288816959. The next prime is 5288816983. The reversal of 5288816960 is 696188825.

It can be written as a sum of positive squares in 4 ways, for example, as 78287104 + 5210529856 = 8848^2 + 72184^2 .

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, 256640 + ... + 276480.

Almost surely, 25288816960 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 5288816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756356852).

5288816960 is an abundant number, since it is smaller than the sum of its proper divisors (10223896744).

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

5288816960 is a wasteful number, since it uses less digits than its factorization.

5288816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19889 (or 19872 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 53.

The square root of 5288816960 is about 72724.2529009408. The cubic root of 5288816960 is about 1742.2862622908.

The spelling of 5288816960 in words is "five billion, two hundred eighty-eight million, eight hundred sixteen thousand, nine hundred sixty".