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11116565957 = 721567144779
BaseRepresentation
bin10100101101001100…
…10101010111000101
31001200201210001200002
422112212111113011
5140231320102312
65035030331045
7542323152200
oct122646252705
931621701602
1011116565957
1147950145a2
1221a2ab9a85
13108211b4a3
14776574937
15450e174c2
hex2969955c5

11116565957 has 12 divisors (see below), whose sum is σ = 12939857280. Its totient is φ = 9522338616.

The previous prime is 11116565953. The next prime is 11116565983. The reversal of 11116565957 is 75956561111.

11116565957 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 11116565957 - 22 = 11116565953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11116565951) 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 11 ways as a sum of consecutive naturals, for example, 4394 + ... + 149172.

It is an arithmetic number, because the mean of its divisors is an integer number (1078321440).

Almost surely, 211116565957 is an apocalyptic number.

It is an amenable number.

11116565957 is a deficient number, since it is larger than the sum of its proper divisors (1823291323).

11116565957 is a wasteful number, since it uses less digits than its factorization.

11116565957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146360 (or 146353 counting only the distinct ones).

The product of its digits is 283500, while the sum is 47.

The spelling of 11116565957 in words is "eleven billion, one hundred sixteen million, five hundred sixty-five thousand, nine hundred fifty-seven".

Divisors: 1 7 49 1567 10969 76783 144779 1013453 7094171 226868693 1588080851 11116565957