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5688055296 = 2932711172341
BaseRepresentation
bin1010100110000100…
…01101011000000000
3112200102002010222200
411103002031120000
543122120232141
62340230433200
7260645446410
oct52302153000
915612063880
105688055296
112459839150
121128b02800
136c85781c1
143bd60a640
15234569ab6
hex15308d600

5688055296 has 960 divisors, whose sum is σ = 23164517376. Its totient is φ = 1297612800.

The previous prime is 5688055271. The next prime is 5688055297. The reversal of 5688055296 is 6925508865.

5688055296 is a `hidden beast` number, since 5 + 6 + 8 + 80 + 552 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5688055297) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 138733036 + ... + 138733076.

Almost surely, 25688055296 is an apocalyptic number.

5688055296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5688055296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582258688).

5688055296 is an abundant number, since it is smaller than the sum of its proper divisors (17476462080).

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

5688055296 is a wasteful number, since it uses less digits than its factorization.

5688055296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

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

The square root of 5688055296 is about 75419.1971317648. The cubic root of 5688055296 is about 1785.0673363954.

The spelling of 5688055296 in words is "five billion, six hundred eighty-eight million, fifty-five thousand, two hundred ninety-six".