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5688195840 = 2834583661
BaseRepresentation
bin1010100110000101…
…01111101100000000
3112200102100021210000
411103002233230000
543122134231330
62340233440000
7260646603225
oct52302575400
915612307700
105688195840
1124599247a8
121128b70000
136c85c7172
143bd64594c
15234596560
hex1530afb00

5688195840 has 360 divisors, whose sum is σ = 20629789488. Its totient is φ = 1496309760.

The previous prime is 5688195829. The next prime is 5688195853. The reversal of 5688195840 is 485918865.

It is a happy number.

5688195840 is a `hidden beast` number, since 56 + 8 + 8 + 1 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8605110 + ... + 8605770.

Almost surely, 25688195840 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 5688195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314894744).

5688195840 is an abundant number, since it is smaller than the sum of its proper divisors (14941593648).

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

5688195840 is an equidigital number, since it uses as much as digits as its factorization.

5688195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The square root of 5688195840 is about 75420.1288781715. The cubic root of 5688195840 is about 1785.0820384581.

The spelling of 5688195840 in words is "five billion, six hundred eighty-eight million, one hundred ninety-five thousand, eight hundred forty".