Search a number
-
+
5303098944 = 2633112131951
BaseRepresentation
bin1001111000001011…
…01101111001000000
3111200120201100011000
410330011231321000
541330043131234
62234115452000
7245262411603
oct47405557100
914616640130
105303098944
112281508800
12103bbb7000
136668a3090
1438444033a
15210878899
hex13c16de40

5303098944 has 336 divisors, whose sum is σ = 18463889920. Its totient is φ = 1482624000.

The previous prime is 5303098919. The next prime is 5303098961. The reversal of 5303098944 is 4498903035.

It is a happy number.

5303098944 is a `hidden beast` number, since 530 + 30 + 9 + 89 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5303098944.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2717169 + ... + 2719119.

Almost surely, 25303098944 is an apocalyptic number.

5303098944 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 5303098944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9231944960).

5303098944 is an abundant number, since it is smaller than the sum of its proper divisors (13160790976).

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

5303098944 is a wasteful number, since it uses less digits than its factorization.

5303098944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5303098944 is about 72822.3794173192. The cubic root of 5303098944 is about 1743.8531495462.

The spelling of 5303098944 in words is "five billion, three hundred three million, ninety-eight thousand, nine hundred forty-four".