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5089966336 = 2876132
BaseRepresentation
bin1001011110110001…
…01011100100000000
3111010201200002011201
410233120223210000
540411012410321
62201023350544
7240064000000
oct45730534400
914121602151
105089966336
112182176054
12ba0752454
1363169b400
14364000000
151ebcc8291
hex12f62b900

5089966336 has 189 divisors, whose sum is σ = 12835313841. Its totient is φ = 2013613056.

The previous prime is 5089966333. The next prime is 5089966339. The reversal of 5089966336 is 6336699805.

The square root of 5089966336 is 71344.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5089966333) and next prime (5089966339).

It can be written as a sum of positive squares in only one way, i.e., 752953600 + 4337012736 = 27440^2 + 65856^2 .

It is a super-2 number, since 2×50899663362 = 51815514603226529792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5089966333) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 391535866 + ... + 391535878.

Almost surely, 25089966336 is an apocalyptic number.

5089966336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5089966336 is the 71344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5089966336

5089966336 is an abundant number, since it is smaller than the sum of its proper divisors (7745347505).

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

5089966336 is an frugal number, since it uses more digits than its factorization.

5089966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 55.

The cubic root of 5089966336 is about 1720.1710592445.

The spelling of 5089966336 in words is "five billion, eighty-nine million, nine hundred sixty-six thousand, three hundred thirty-six".