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5659250688 = 212327213241
BaseRepresentation
bin1010100010101000…
…10101000000000000
3112121101212201111100
411101110111000000
543042232010223
62333321214400
7260145560100
oct52124250000
915541781440
105659250688
112444554893
12111b331400
136c2601360
143b986d200
15231c7a043
hex151515000

5659250688 has 468 divisors, whose sum is σ = 20563571028. Its totient is φ = 1486356480.

The previous prime is 5659250633. The next prime is 5659250693. The reversal of 5659250688 is 8860529565.

5659250688 is a `hidden beast` number, since 5 + 6 + 59 + 2 + 506 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2472873984 + 3186376704 = 49728^2 + 56448^2 .

It is a tau number, because it is divible by the number of its divisors (468).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23482248 + ... + 23482488.

Almost surely, 25659250688 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 5659250688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281785514).

5659250688 is an abundant number, since it is smaller than the sum of its proper divisors (14904320340).

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

5659250688 is a wasteful number, since it uses less digits than its factorization.

5659250688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The square root of 5659250688 is about 75227.9913861855. The cubic root of 5659250688 is about 1782.0490110355.

The spelling of 5659250688 in words is "five billion, six hundred fifty-nine million, two hundred fifty thousand, six hundred eighty-eight".