Search a number
-
+
5095603920 = 243511192931113
BaseRepresentation
bin1001011111011100…
…01011111011010000
3111011010021111111010
410233232023323100
540413433311140
62201344250520
7240162630051
oct45756137320
914133244433
105095603920
112185376710
12ba2610a40
136328c3464
14364a6a728
151ec53d880
hex12fb8bed0

5095603920 has 640 divisors, whose sum is σ = 19541606400. Its totient is φ = 1083801600.

The previous prime is 5095603913. The next prime is 5095603921. The reversal of 5095603920 is 293065905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5095603921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45093784 + ... + 45093896.

It is an arithmetic number, because the mean of its divisors is an integer number (30533760).

Almost surely, 25095603920 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 5095603920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9770803200).

5095603920 is an abundant number, since it is smaller than the sum of its proper divisors (14446002480).

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

5095603920 is a wasteful number, since it uses less digits than its factorization.

5095603920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 5095603920 is about 71383.4989335771. The cubic root of 5095603920 is about 1720.8059050100.

The spelling of 5095603920 in words is "five billion, ninety-five million, six hundred three thousand, nine hundred twenty".