Search a number
-
+
13825255698 = 2323133177741
BaseRepresentation
bin11001110000000110…
…01010100100010010
31022200111122202110100
430320003022210102
5211303231140243
610203511113230
7666413506632
oct147003124422
938614582410
1013825255698
115954aa6261
12281a072816
1313c4358297
149521ca6c2
1555db170d3
hex3380ca912

13825255698 has 48 divisors (see below), whose sum is σ = 30149113176. Its totient is φ = 4578612480.

The previous prime is 13825255643. The next prime is 13825255751. The reversal of 13825255698 is 89655252831.

It is a happy number.

13825255698 is a `hidden beast` number, since 1 + 3 + 82 + 5 + 2 + 556 + 9 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2043672849 + 11781582849 = 45207^2 + 108543^2 .

It is a super-2 number, since 2×138252556982 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1782108 + ... + 1789848.

Almost surely, 213825255698 is an apocalyptic number.

13825255698 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13825255698 is an abundant number, since it is smaller than the sum of its proper divisors (16323857478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13825255698 is a wasteful number, since it uses less digits than its factorization.

13825255698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379 (or 8376 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 13825255698 in words is "thirteen billion, eight hundred twenty-five million, two hundred fifty-five thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 18 313 317 626 634 939 951 1878 1902 2817 2853 5634 5706 7741 15482 23223 46446 69669 99221 139338 198442 297663 595326 892989 1785978 2422933 2453897 4845866 4907794 7268799 7361691 14537598 14723382 21806397 22085073 43612794 44170146 768069761 1536139522 2304209283 4608418566 6912627849 13825255698