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11306706889 = 11329412
BaseRepresentation
bin10101000011110111…
…01010011111001001
31002011222120012222211
422201323222133021
5141124004110024
65105541545121
7550122265012
oct124173523711
932158505884
1011306706889
114882383265
1222367151a1
1310b263310a
1479390c009
15462975594
hex2a1eea7c9

11306706889 has 9 divisors (see below), whose sum is σ = 11419787509. Its totient is φ = 11194738240.

The previous prime is 11306706881. The next prime is 11306706907. The reversal of 11306706889 is 98860760311.

The square root of 11306706889 is 106333.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2899284025 + 8407422864 = 53845^2 + 91692^2 .

It is not a de Polignac number, because 11306706889 - 23 = 11306706881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11306706881) 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 8 ways as a sum of consecutive naturals, for example, 12015159 + ... + 12016099.

Almost surely, 211306706889 is an apocalyptic number.

11306706889 is the 106333-rd square number.

11306706889 is the 53167-th centered octagonal number.

It is an amenable number.

11306706889 is a deficient number, since it is larger than the sum of its proper divisors (113080620).

11306706889 is an frugal number, since it uses more digits than its factorization.

11306706889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 11306706889 by its sum of digits (49), we get a square (554028637561 = 7443312).

The spelling of 11306706889 in words is "eleven billion, three hundred six million, seven hundred six thousand, eight hundred eighty-nine".

Divisors: 1 113 941 12769 106333 885481 12015629 100059353 11306706889