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5717986560 = 283351113289
BaseRepresentation
bin1010101001101000…
…11000110100000000
3112202111101210222000
411110310120310000
543202301032220
62343220144000
7261461040516
oct52464306400
915674353860
105717986560
112474721a30
121136b38000
13701827b00
143c359c4b6
15236ecd390
hex154d18d00

5717986560 has 864 divisors, whose sum is σ = 24238569600. Its totient is φ = 1265172480.

The previous prime is 5717986543. The next prime is 5717986621. The reversal of 5717986560 is 656897175.

5717986560 is a `hidden beast` number, since 5 + 7 + 1 + 79 + 8 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 5717986497 and 5717986506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64246996 + ... + 64247084.

It is an arithmetic number, because the mean of its divisors is an integer number (28053900).

Almost surely, 25717986560 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 5717986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12119284800).

5717986560 is an abundant number, since it is smaller than the sum of its proper divisors (18520583040).

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

5717986560 is a wasteful number, since it uses less digits than its factorization.

5717986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5717986560 is about 75617.3694332195. The cubic root of 5717986560 is about 1788.1929434596.

The spelling of 5717986560 in words is "five billion, seven hundred seventeen million, nine hundred eighty-six thousand, five hundred sixty".