Search a number
-
+
5120006619 = 37313382747
BaseRepresentation
bin1001100010010110…
…10001100111011011
3111012211012021200210
410301023101213123
540441210202434
62204015302203
7240610224000
oct46113214733
914184167623
105120006619
112198123832
12baa81a963
13637988820
14367dbd8a7
151ee75dee9
hex1312d19db

5120006619 has 32 divisors (see below), whose sum is σ = 8573555200. Its totient is φ = 2700655776.

The previous prime is 5120006597. The next prime is 5120006623. The reversal of 5120006619 is 9166000215.

It is not a de Polignac number, because 5120006619 - 219 = 5119482331 is a prime.

It is a super-2 number, since 2×51200066192 = 52428935557207622322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5120006119) 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 31 ways as a sum of consecutive naturals, for example, 177997 + ... + 204750.

It is an arithmetic number, because the mean of its divisors is an integer number (267923600).

Almost surely, 25120006619 is an apocalyptic number.

5120006619 is a deficient number, since it is larger than the sum of its proper divisors (3453548581).

5120006619 is a wasteful number, since it uses less digits than its factorization.

5120006619 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382784 (or 382770 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 5120006619 is about 71554.2215316469. The cubic root of 5120006619 is about 1723.5484947441.

The spelling of 5120006619 in words is "five billion, one hundred twenty million, six thousand, six hundred nineteen".

Divisors: 1 3 7 13 21 39 49 91 147 273 343 637 1029 1911 4459 13377 382747 1148241 2679229 4975711 8037687 14927133 18754603 34829977 56263809 104489931 131282221 243809839 393846663 731429517 1706668873 5120006619