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5669232624640 = 210513295575273
BaseRepresentation
bin101001001111111100010…
…0110001100010000000000
3202001222021120100220200101
41102133320212030100000
51220341042022442030
620020224242132144
71123405604132644
oct122377046142000
922058246326611
105669232624640
111896343024712
1277689a651054
133217b6199a50
1415856c76ac24
159c70a61e7ca
hex527f898c400

5669232624640 has 352 divisors, whose sum is σ = 15180731808480. Its totient is φ = 2017062813696.

The previous prime is 5669232624623. The next prime is 5669232624659. The reversal of 5669232624640 is 464262329665.

It can be written as a sum of positive squares in 16 ways, for example, as 3435714330624 + 2233518294016 = 1853568^2 + 1494496^2 .

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 31 ways as a sum of consecutive naturals, for example, 1075141044 + ... + 1075146316.

Almost surely, 25669232624640 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 5669232624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7590365904240).

5669232624640 is an abundant number, since it is smaller than the sum of its proper divisors (9511499183840).

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

5669232624640 is a wasteful number, since it uses less digits than its factorization.

5669232624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 55.

The spelling of 5669232624640 in words is "five trillion, six hundred sixty-nine billion, two hundred thirty-two million, six hundred twenty-four thousand, six hundred forty".