Search a number
-
+
10504257417 = 332913415399
BaseRepresentation
bin10011100100001101…
…00011111110001001
31000010001121120021000
421302012203332021
5133003042214132
64454154405213
7521206500123
oct116206437611
930101546230
1010504257417
11450041a085
122051a30809
13cb5303344
14719106213
154172b787c
hex2721a3f89

10504257417 has 16 divisors (see below), whose sum is σ = 16098480000. Its totient is φ = 6761360592.

The previous prime is 10504257397. The next prime is 10504257431. The reversal of 10504257417 is 71475240501.

10504257417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10504257417 - 27 = 10504257289 is a prime.

It is a super-2 number, since 2×105042574172 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10504250417) 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 15 ways as a sum of consecutive naturals, for example, 6706917 + ... + 6708482.

It is an arithmetic number, because the mean of its divisors is an integer number (1006155000).

Almost surely, 210504257417 is an apocalyptic number.

It is an amenable number.

10504257417 is a deficient number, since it is larger than the sum of its proper divisors (5594222583).

10504257417 is a wasteful number, since it uses less digits than its factorization.

10504257417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13415437 (or 13415431 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Adding to 10504257417 its reverse (71475240501), we get a palindrome (81979497918).

The spelling of 10504257417 in words is "ten billion, five hundred four million, two hundred fifty-seven thousand, four hundred seventeen".

Divisors: 1 3 9 27 29 87 261 783 13415399 40246197 120738591 362215773 389046571 1167139713 3501419139 10504257417