Search a number
-
+
13662000011 = 112795772477
BaseRepresentation
bin11001011100101000…
…11001001110001011
31022021010110111202102
430232110121032023
5210434433000021
610135400024015
7662362040552
oct145624311613
938233414672
1013662000011
11588092a900
12279346200b
13139959799a
14938650d99
1554e61a00b
hex32e51938b

13662000011 has 24 divisors (see below), whose sum is σ = 15239501760. Its totient is φ = 12236590080.

The previous prime is 13661999983. The next prime is 13662000041. The reversal of 13662000011 is 11000026631.

13662000011 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 13662000011 - 226 = 13594891147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13662000041) 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 23 ways as a sum of consecutive naturals, for example, 5514305 + ... + 5516781.

It is an arithmetic number, because the mean of its divisors is an integer number (634979240).

Almost surely, 213662000011 is an apocalyptic number.

13662000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13662000011 is a deficient number, since it is larger than the sum of its proper divisors (1577501749).

13662000011 is a wasteful number, since it uses less digits than its factorization.

13662000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13662000011 its reverse (11000026631), we get a palindrome (24662026642).

The spelling of 13662000011 in words is "thirteen billion, six hundred sixty-two million, eleven", and thus it is an aban number.

Divisors: 1 11 79 121 577 869 2477 6347 9559 27247 45583 69817 195683 299717 501413 1429229 2152513 5515543 15721519 23677643 112909091 172936709 1242000001 13662000011