Search a number
-
+
5089007616 = 211371131347
BaseRepresentation
bin1001011110101010…
…00001100000000000
3111010122212101001120
410233111001200000
540410241220431
62200551032240
7240052564620
oct45725014000
914118771046
105089007616
112181680820
12ba036b680
13631423c14
14363c30880
151ebb89196
hex12f541800

5089007616 has 384 divisors, whose sum is σ = 17511137280. Its totient is φ = 1275494400.

The previous prime is 5089007593. The next prime is 5089007621. The reversal of 5089007616 is 6167009805.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14665555 + ... + 14665901.

It is an arithmetic number, because the mean of its divisors is an integer number (45601920).

Almost surely, 25089007616 is an apocalyptic number.

5089007616 is a gapful number since it is divisible by the number (56) 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 5089007616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8755568640).

5089007616 is an abundant number, since it is smaller than the sum of its proper divisors (12422129664).

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

5089007616 is a wasteful number, since it uses less digits than its factorization.

5089007616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 5089007616 is about 71337.2806882909. The cubic root of 5089007616 is about 1720.0630515916.

The spelling of 5089007616 in words is "five billion, eighty-nine million, seven thousand, six hundred sixteen".