Search a number
-
+
25100086431 = 372814253531
BaseRepresentation
bin10111011000000101…
…001110110010011111
32101210021020111120210
4113120011032302133
5402401110231211
615310353543503
71546001133360
oct273005166237
971707214523
1025100086431
11a710387492
124a45b74b93
1324a01aa464
14130179bb67
159bd8929a6
hex5d814ec9f

25100086431 has 16 divisors (see below), whose sum is σ = 38383872768. Its totient is φ = 14291860800.

The previous prime is 25100086397. The next prime is 25100086457. The reversal of 25100086431 is 13468000152.

It is not a de Polignac number, because 25100086431 - 26 = 25100086367 is a prime.

It is a super-2 number, since 2×251000864312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25100086831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2120865 + ... + 2132666.

It is an arithmetic number, because the mean of its divisors is an integer number (2398992048).

Almost surely, 225100086431 is an apocalyptic number.

25100086431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

25100086431 is a deficient number, since it is larger than the sum of its proper divisors (13283786337).

25100086431 is a wasteful number, since it uses less digits than its factorization.

25100086431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253822.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 25100086431 its reverse (13468000152), we get a palindrome (38568086583).

It can be divided in two parts, 251000 and 86431, that added together give a triangular number (337431 = T821).

The spelling of 25100086431 in words is "twenty-five billion, one hundred million, eighty-six thousand, four hundred thirty-one".

Divisors: 1 3 7 21 281 843 1967 5901 4253531 12760593 29774717 89324151 1195242211 3585726633 8366695477 25100086431