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5740796880 = 24325721312517
BaseRepresentation
bin1010101100010110…
…11001101111010000
3112211002022200211200
411112023121233100
543224121000010
62345353111200
7262155653100
oct52613315720
915732280750
105740796880
112486591735
1211426b8500
13706483440
143c6619200
15238ed6cc0
hex1562d9bd0

5740796880 has 360 divisors, whose sum is σ = 24154282152. Its totient is φ = 1211148288.

The previous prime is 5740796879. The next prime is 5740796891. The reversal of 5740796880 is 886970475.

5740796880 is a `hidden beast` number, since 574 + 0 + 7 + 9 + 68 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 844716096 + 4896080784 = 29064^2 + 69972^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 452382 + ... + 464898.

Almost surely, 25740796880 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 5740796880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077141076).

5740796880 is an abundant number, since it is smaller than the sum of its proper divisors (18413485272).

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

5740796880 is a wasteful number, since it uses less digits than its factorization.

5740796880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12563 (or 12547 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5740796880 is about 75768.0465631786. The cubic root of 5740796880 is about 1790.5676216549.

The spelling of 5740796880 in words is "five billion, seven hundred forty million, seven hundred ninety-six thousand, eight hundred eighty".