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12162340089 = 32367612
BaseRepresentation
bin10110101001110111…
…01001010011111001
31011101121120220002100
423110323221103321
5144402024340324
65330505054013
7610252120314
oct132473512371
934347526070
1012162340089
115181362139
122435187309
1311ba994453
148353d997b
154b2b3b4c9
hex2d4ee94f9

12162340089 has 9 divisors (see below), whose sum is σ = 17568302479. Its totient is φ = 8108006160.

The previous prime is 12162340087. The next prime is 12162340111. The reversal of 12162340089 is 98004326121.

The square root of 12162340089 is 110283.

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

12162340089 is a `hidden beast` number, since 1 + 21 + 623 + 4 + 0 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53538489 + 12108801600 = 7317^2 + 110040^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12162340089 - 21 = 12162340087 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12162340087) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 312469 + ... + 349229.

Almost surely, 212162340089 is an apocalyptic number.

12162340089 is the 110283-rd square number.

12162340089 is the 55142-nd centered octagonal number.

It is an amenable number.

12162340089 is a deficient number, since it is larger than the sum of its proper divisors (5405962390).

12162340089 is an frugal number, since it uses more digits than its factorization.

12162340089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73528 (or 36764 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 12162340089 by its sum of digits (36), we get a square (437844243204 = 6616982).

Multiplying 12162340089 by its product of nonzero digits (20736), we get a square (252198284085504 = 158807522).

The spelling of 12162340089 in words is "twelve billion, one hundred sixty-two million, three hundred forty thousand, eighty-nine".

Divisors: 1 3 9 36761 110283 330849 1351371121 4054113363 12162340089