Search a number
-
+
13825962249 = 31117229107621
BaseRepresentation
bin11001110000001011…
…10111000100001001
31022200112222122122220
430320011313010021
5211303421242444
610203534204253
7666422511561
oct147005670411
938615878586
1013825962249
115955439090
12281a353689
1313c4544a68
14952331da1
1555dc06619
hex338177109

13825962249 has 32 divisors (see below), whose sum is σ = 21386643840. Its totient is φ = 7851955200.

The previous prime is 13825962197. The next prime is 13825962253. The reversal of 13825962249 is 94226952831.

It is not a de Polignac number, because 13825962249 - 28 = 13825961993 is a prime.

It is a super-2 number, since 2×138259622492 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (13825162249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74659 + ... + 182279.

It is an arithmetic number, because the mean of its divisors is an integer number (668332620).

Almost surely, 213825962249 is an apocalyptic number.

It is an amenable number.

13825962249 is a deficient number, since it is larger than the sum of its proper divisors (7560681591).

13825962249 is a wasteful number, since it uses less digits than its factorization.

13825962249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107881.

The product of its digits is 1866240, while the sum is 51.

The spelling of 13825962249 in words is "thirteen billion, eight hundred twenty-five million, nine hundred sixty-two thousand, two hundred forty-nine".

Divisors: 1 3 11 17 33 51 187 229 561 687 2519 3893 7557 11679 42823 107621 128469 322863 1183831 1829557 3551493 5488671 20125127 24645209 60375381 73935627 271097299 418968553 813291897 1256905659 4608654083 13825962249