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5093964288 = 293575849
BaseRepresentation
bin1001011111001111…
…11011101000000000
3111011000012012100000
410233213323220000
540413023324123
62201245200000
7240142660560
oct45747735000
914130165300
105093964288
112184456846
12ba1b60000
1363246b06a
14364760da0
151ec317b43
hex12f9fba00

5093964288 has 240 divisors, whose sum is σ = 17427009600. Its totient is φ = 1455169536.

The previous prime is 5093964283. The next prime is 5093964311. The reversal of 5093964288 is 8824693905.

5093964288 is a `hidden beast` number, since 509 + 3 + 96 + 42 + 8 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5093964283) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 867988 + ... + 873836.

It is an arithmetic number, because the mean of its divisors is an integer number (72612540).

Almost surely, 25093964288 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 5093964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8713504800).

5093964288 is an abundant number, since it is smaller than the sum of its proper divisors (12333045312).

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

5093964288 is an frugal number, since it uses more digits than its factorization.

5093964288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 5093964288 is about 71372.0133385629. The cubic root of 5093964288 is about 1720.6213151064.

The spelling of 5093964288 in words is "five billion, ninety-three million, nine hundred sixty-four thousand, two hundred eighty-eight".