Search a number
-
+
5120648617 = 72104503033
BaseRepresentation
bin1001100010011011…
…01110010110101001
3111012212101220100111
410301031232112221
540441341223432
62204041134321
7240615536500
oct46115562651
914185356314
105120648617
112198522107
12baaa8a3a1
13637b51ac6
14368109837
151ee839347
hex13136e5a9

5120648617 has 6 divisors (see below), whose sum is σ = 5956672938. Its totient is φ = 4389127344.

The previous prime is 5120648609. The next prime is 5120648627. The reversal of 5120648617 is 7168460215.

It can be written as a sum of positive squares in only one way, i.e., 5109962256 + 10686361 = 71484^2 + 3269^2 .

It is not a de Polignac number, because 5120648617 - 23 = 5120648609 is a prime.

It is a super-3 number, since 3×51206486173 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5120648617.

It is not an unprimeable number, because it can be changed into a prime (5120648627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52251468 + ... + 52251565.

It is an arithmetic number, because the mean of its divisors is an integer number (992778823).

Almost surely, 25120648617 is an apocalyptic number.

It is an amenable number.

5120648617 is a deficient number, since it is larger than the sum of its proper divisors (836024321).

5120648617 is a wasteful number, since it uses less digits than its factorization.

5120648617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104503047 (or 104503040 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 5120648617 is about 71558.7074855325. The cubic root of 5120648617 is about 1723.6205303568.

The spelling of 5120648617 in words is "five billion, one hundred twenty million, six hundred forty-eight thousand, six hundred seventeen".

Divisors: 1 7 49 104503033 731521231 5120648617