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5680093265280 = 273357219443797
BaseRepresentation
bin101001010100111111111…
…1100001111110110000000
3202010000022110120121211000
41102221333330033312000
51221030312333442110
620025222051252000
71124242002064200
oct122517774176600
922100273517730
105680093265280
11189aa06628785
12778a0b8aa000
1332282727c825
14158cbcd22400
159cb43d321c0
hex52a7ff0fd80

5680093265280 has 1536 divisors, whose sum is σ = 24719639616000. Its totient is φ = 1225658843136.

The previous prime is 5680093265269. The next prime is 5680093265303. The reversal of 5680093265280 is 825623900865.

5680093265280 is a `hidden beast` number, since 5 + 6 + 8 + 0 + 0 + 93 + 26 + 528 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7126841842 + ... + 7126842638.

It is an arithmetic number, because the mean of its divisors is an integer number (16093515375).

Almost surely, 25680093265280 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 5680093265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359819808000).

5680093265280 is an abundant number, since it is smaller than the sum of its proper divisors (19039546350720).

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

5680093265280 is a wasteful number, since it uses less digits than its factorization.

5680093265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5680093265280 in words is "five trillion, six hundred eighty billion, ninety-three million, two hundred sixty-five thousand, two hundred eighty".