Search a number
-
+
10268507617 = 12298355173
BaseRepresentation
bin10011001000000110…
…01111110111100001
3222111122000020022221
421210003033313201
5132012214220432
64414533431041
7512314605664
oct114403176741
928448006287
1010268507617
11439a339835
121ba6a9b481
13c7850cc14
146d5a996db
1540174ab97
hex2640cfde1

10268507617 has 4 divisors (see below), whose sum is σ = 10276864020. Its totient is φ = 10260151216.

The previous prime is 10268507581. The next prime is 10268507653. The reversal of 10268507617 is 71670586201.

10268507617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 71670586201 = 109365572357.

It is an interprime number because it is at equal distance from previous prime (10268507581) and next prime (10268507653).

It can be written as a sum of positive squares in 2 ways, for example, as 9882149281 + 386358336 = 99409^2 + 19656^2 .

It is a cyclic number.

It is not a de Polignac number, because 10268507617 - 27 = 10268507489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10268507017) 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 3 ways as a sum of consecutive naturals, for example, 4176358 + ... + 4178815.

It is an arithmetic number, because the mean of its divisors is an integer number (2569216005).

Almost surely, 210268507617 is an apocalyptic number.

It is an amenable number.

10268507617 is a deficient number, since it is larger than the sum of its proper divisors (8356403).

10268507617 is an equidigital number, since it uses as much as digits as its factorization.

10268507617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356402.

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 10268507617 in words is "ten billion, two hundred sixty-eight million, five hundred seven thousand, six hundred seventeen".

Divisors: 1 1229 8355173 10268507617