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5688599040 = 29325376673
BaseRepresentation
bin1010100110001000…
…10010001000000000
3112200110002202212100
411103010102020000
543122240132130
62340250230400
7260653202565
oct52304221000
915613082770
105688599040
11245a07a723
121129125400
136c8708847
143bd70c86c
15234625c60
hex153112200

5688599040 has 240 divisors, whose sum is σ = 20236715928. Its totient is φ = 1475739648.

The previous prime is 5688599029. The next prime is 5688599053. The reversal of 5688599040 is 409958865.

It is a happy number.

5688599040 is a `hidden beast` number, since 5 + 6 + 8 + 8 + 599 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4217723136 + 1470875904 = 64944^2 + 38352^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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, 849144 + ... + 855816.

Almost surely, 25688599040 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 5688599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118357964).

5688599040 is an abundant number, since it is smaller than the sum of its proper divisors (14548116888).

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

5688599040 is a wasteful number, since it uses less digits than its factorization.

5688599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 5688599040 is about 75422.8018572633. The cubic root of 5688599040 is about 1785.1242151630.

The spelling of 5688599040 in words is "five billion, six hundred eighty-eight million, five hundred ninety-nine thousand, forty".