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12161818805 = 514923312
BaseRepresentation
bin10110101001110011…
…01010000010110101
31011101120121102000112
423110321222002311
5144401411200210
65330445552405
7610244516453
oct132471520265
934346542015
1012161818805
115181036524
122434b75705
1311ba8410b6
148353019d3
154b2a86d05
hex2d4e6a0b5

12161818805 has 18 divisors (see below), whose sum is σ = 14737310658. Its totient is φ = 9634959840.

The previous prime is 12161818759. The next prime is 12161818811. The reversal of 12161818805 is 50881816121.

12161818805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 158206084 + 12003612721 = 12578^2 + 109561^2 .

It is not a de Polignac number, because 12161818805 - 210 = 12161817781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 36742490 + ... + 36742820.

It is an arithmetic number, because the mean of its divisors is an integer number (818739481).

Almost surely, 212161818805 is an apocalyptic number.

It is an amenable number.

12161818805 is a deficient number, since it is larger than the sum of its proper divisors (2575491853).

12161818805 is an frugal number, since it uses more digits than its factorization.

12161818805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 41.

The spelling of 12161818805 in words is "twelve billion, one hundred sixty-one million, eight hundred eighteen thousand, eight hundred five".

Divisors: 1 5 149 331 745 1655 22201 49319 109561 111005 246595 547805 7348531 16324589 36742655 81622945 2432363761 12161818805