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5289560064 = 21133172331
BaseRepresentation
bin1001110110100100…
…00100100000000000
3111122122020111022000
410323102010200000
541313111410224
62232513344000
7245036342625
oct47322044000
914578214260
105289560064
112274900848
121037568000
13663b427c9
1438271834c
1520e5a20c9
hex13b484800

5289560064 has 288 divisors, whose sum is σ = 16695151200. Its totient is φ = 1654456320.

The previous prime is 5289560063. The next prime is 5289560077. The reversal of 5289560064 is 4600659825.

5289560064 is a `hidden beast` number, since 5 + 2 + 89 + 560 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5289560063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15980379 + ... + 15980709.

It is an arithmetic number, because the mean of its divisors is an integer number (57969275).

Almost surely, 25289560064 is an apocalyptic number.

5289560064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5289560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347575600).

5289560064 is an abundant number, since it is smaller than the sum of its proper divisors (11405591136).

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

5289560064 is a wasteful number, since it uses less digits than its factorization.

5289560064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5289560064 is about 72729.3617736331. The cubic root of 5289560064 is about 1742.3678583117.

The spelling of 5289560064 in words is "five billion, two hundred eighty-nine million, five hundred sixty thousand, sixty-four".