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5685069005280 = 2532571761354121
BaseRepresentation
bin101001010111010100010…
…0001001100000111100000
3202010111011020022101220200
41102232220201030013200
51221121010131132110
620031403514505200
71124506211140620
oct122565041140740
922114136271820
105685069005280
1118a202a2758a5
1277997a135200
1332313b095c92
14159231aaa880
159cd35a956c0
hex52ba884c1e0

5685069005280 has 576 divisors, whose sum is σ = 23514722195328. Its totient is φ = 1220988764160.

The previous prime is 5685069005251. The next prime is 5685069005321. The reversal of 5685069005280 is 825009605865.

5685069005280 is a `hidden beast` number, since 5 + 6 + 8 + 50 + 69 + 0 + 0 + 528 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105016620 + ... + 105070740.

It is an arithmetic number, because the mean of its divisors is an integer number (40824170478).

Almost surely, 25685069005280 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 5685069005280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11757361097664).

5685069005280 is an abundant number, since it is smaller than the sum of its proper divisors (17829653190048).

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

5685069005280 is a wasteful number, since it uses less digits than its factorization.

5685069005280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54779 (or 54768 counting only the distinct ones).

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

The spelling of 5685069005280 in words is "five trillion, six hundred eighty-five billion, sixty-nine million, five thousand, two hundred eighty".