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5676687360 = 2133452959
BaseRepresentation
bin1010100100101101…
…10110000000000000
3112122121200121010000
411102112312000000
543111212443420
62335143040000
7260450021631
oct52226660000
915577617100
105676687360
112453384263
121125140000
136c60c7b06
143bbccb888
15233571690
hex1525b6000

5676687360 has 560 divisors, whose sum is σ = 21409304400. Its totient is φ = 1436811264.

The previous prime is 5676687347. The next prime is 5676687383. The reversal of 5676687360 is 637866765.

5676687360 is a `hidden beast` number, since 567 + 6 + 6 + 8 + 73 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5676687297 and 5676687306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96215011 + ... + 96215069.

Almost surely, 25676687360 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 5676687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704652200).

5676687360 is an abundant number, since it is smaller than the sum of its proper divisors (15732617040).

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

5676687360 is an equidigital number, since it uses as much as digits as its factorization.

5676687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 5676687360 is about 75343.7944359056. The cubic root of 5676687360 is about 1783.8773535370.

The spelling of 5676687360 in words is "five billion, six hundred seventy-six million, six hundred eighty-seven thousand, three hundred sixty".