Search a number
-
+
10005915721 = 167281213223
BaseRepresentation
bin10010101000110011…
…00010100001001001
3221211022220011222011
421110121202201021
5130443003300341
64332513255521
7502645610644
oct112431424111
927738804864
1010005915721
11427509563a
121b32b645a1
13c35cabcb9
146acc62a5b
153d867ab81
hex254662849

10005915721 has 8 divisors (see below), whose sum is σ = 10101700224. Its totient is φ = 9910558560.

The previous prime is 10005915701. The next prime is 10005915737. The reversal of 10005915721 is 12751950001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005915721 - 213 = 10005907529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005915701) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 59685 + ... + 153538.

It is an arithmetic number, because the mean of its divisors is an integer number (1262712528).

Almost surely, 210005915721 is an apocalyptic number.

It is an amenable number.

10005915721 is a deficient number, since it is larger than the sum of its proper divisors (95784503).

10005915721 is a wasteful number, since it uses less digits than its factorization.

10005915721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213671.

The product of its (nonzero) digits is 3150, while the sum is 31.

The spelling of 10005915721 in words is "ten billion, five million, nine hundred fifteen thousand, seven hundred twenty-one".

Divisors: 1 167 281 46927 213223 35608241 59915663 10005915721