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5797474560 = 2837519109
BaseRepresentation
bin1010110011000111…
…00111000100000000
3112222000222020000000
411121203213010000
543333123141220
62355140000000
7263444502123
oct53143470400
915860866000
105797474560
112505583499
121159690000
13715139127
143cdd703ba
1523de80390
hex1598e7100

5797474560 has 576 divisors, whose sum is σ = 22124256000. Its totient is φ = 1451188224.

The previous prime is 5797474559. The next prime is 5797474597. The reversal of 5797474560 is 654747975.

5797474560 is a `hidden beast` number, since 5 + 7 + 9 + 7 + 4 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×57974745602 = 67221422547694387200, which contains 22 as substring.

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 = 5797474497 and 5797474506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53187786 + ... + 53187894.

Almost surely, 25797474560 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 5797474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11062128000).

5797474560 is an abundant number, since it is smaller than the sum of its proper divisors (16326781440).

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

5797474560 is an equidigital number, since it uses as much as digits as its factorization.

5797474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The square root of 5797474560 is about 76141.1489275017. The cubic root of 5797474560 is about 1796.4409675759.

The spelling of 5797474560 in words is "five billion, seven hundred ninety-seven million, four hundred seventy-four thousand, five hundred sixty".