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5707759680 = 263257319133
BaseRepresentation
bin1010101000011010…
…11000000001000000
3112201210011020022200
411110031120001000
543142141302210
62342213033200
7261305104530
oct52415300100
915653136280
105707759680
112469977367
121133625800
136cc686bbc
143c20994c0
1523615d0c0
hex154358040

5707759680 has 336 divisors, whose sum is σ = 23163239424. Its totient is φ = 1262407680.

The previous prime is 5707759679. The next prime is 5707759703. The reversal of 5707759680 is 869577075.

5707759680 is a `hidden beast` number, since 570 + 7 + 7 + 5 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620394 + ... + 629526.

Almost surely, 25707759680 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 5707759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11581619712).

5707759680 is an abundant number, since it is smaller than the sum of its proper divisors (17455479744).

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

5707759680 is a wasteful number, since it uses less digits than its factorization.

5707759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9194 (or 9181 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The square root of 5707759680 is about 75549.7166109841. The cubic root of 5707759680 is about 1787.1262190068.

The spelling of 5707759680 in words is "five billion, seven hundred seven million, seven hundred fifty-nine thousand, six hundred eighty".