Search a number
-
+
5063109120 = 293652713
BaseRepresentation
bin1001011011100100…
…01110101000000000
3111001212010121000000
410231302032220000
540332123442440
62154224000000
7236316501036
oct45562165000
914055117000
105063109120
112168aa1903
12b93760000
13628c56a74
1436060c556
151e9770730
hex12dc8ea00

5063109120 has 280 divisors, whose sum is σ = 18207775476. Its totient is φ = 1349664768.

The previous prime is 5063109091. The next prime is 5063109211. The reversal of 5063109120 is 219013605.

5063109120 is a `hidden beast` number, since 5 + 0 + 631 + 0 + 9 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4718041344 + 345067776 = 68688^2 + 18576^2 .

It is a super-2 number, since 2×50631091202 = 51270147922054348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1864884 + ... + 1867596.

Almost surely, 25063109120 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 5063109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9103887738).

5063109120 is an abundant number, since it is smaller than the sum of its proper divisors (13144666356).

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

5063109120 is an frugal number, since it uses more digits than its factorization.

5063109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5063109120 is about 71155.5276840809. The cubic root of 5063109120 is about 1717.1402270770.

The spelling of 5063109120 in words is "five billion, sixty-three million, one hundred nine thousand, one hundred twenty".