Search a number
-
+
12092741089 = 1121327692
BaseRepresentation
bin10110100001100100…
…01001010111100001
31011012202121220012121
423100302021113201
5144231220203324
65315541224241
7605445413632
oct132062112741
934182556177
1012092741089
115146045400
122415a02081
1311a9436300
1482a07d889
154ab98e5e4
hex2d0c895e1

12092741089 has 27 divisors (see below), whose sum is σ = 14411876409. Its totient is φ = 10134558720.

The previous prime is 12092741033. The next prime is 12092741107. The reversal of 12092741089 is 98014729021.

It is a happy number.

The square root of 12092741089 is 109967.

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 2782035025 + 9310706064 = 52745^2 + 96492^2 .

It is a de Polignac number, because none of the positive numbers 2k-12092741089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12092741029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15724897 + ... + 15725665.

Almost surely, 212092741089 is an apocalyptic number.

12092741089 is the 109967-th square number.

12092741089 is the 54984-th centered octagonal number.

It is an amenable number.

12092741089 is a deficient number, since it is larger than the sum of its proper divisors (2319135320).

12092741089 is an frugal number, since it uses more digits than its factorization.

12092741089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 12092741089 in words is "twelve billion, ninety-two million, seven hundred forty-one thousand, eighty-nine".

Divisors: 1 11 13 121 143 169 769 1573 1859 8459 9997 20449 93049 109967 129961 591361 1209637 1429571 6504971 7687693 15725281 71554681 84564623 99940009 930210853 1099340099 12092741089