Search a number
-
+
5050195485696 = 210310174
BaseRepresentation
bin100100101111101011100…
…0110111010010000000000
3122212210102210210000000000
41021133113012322100000
51130220300021020241
614424010000000000
71030602360231054
oct111372706722000
918783383700000
105050195485696
111677859769939
12696918300000
132a830149a5aa
14136606041c64
158b57932ceb6
hex497d71ba400

5050195485696 has 605 divisors, whose sum is σ = 16089535845871. Its totient is φ = 1584375054336.

The previous prime is 5050195485689. The next prime is 5050195485701. The reversal of 5050195485696 is 6965845910505.

The square root of 5050195485696 is 2247264.

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

5050195485696 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 1 + 95 + 485 + 69 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1567343748096 + 3482851737600 = 1251936^2 + 1866240^2 .

It is a Duffinian number.

It is an unprimeable number.

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 54 ways as a sum of consecutive naturals, for example, 297070322680 + ... + 297070322696.

Almost surely, 25050195485696 is an apocalyptic number.

5050195485696 is the 2247264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5050195485696

5050195485696 is an abundant number, since it is smaller than the sum of its proper divisors (11039340360175).

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

5050195485696 is an frugal number, since it uses more digits than its factorization.

5050195485696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 63.

The spelling of 5050195485696 in words is "five trillion, fifty billion, one hundred ninety-five million, four hundred eighty-five thousand, six hundred ninety-six".