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12044404009 = 1149072
BaseRepresentation
bin10110011011110011…
…10000010100101001
31011002101200010012101
423031321300110221
5144131331412014
65311053213401
7604320513331
oct131571602451
934071603171
1012044404009
115120830000
122401791261
13119c410aa1
1482389a0c1
154a75e2474
hex2cde70529

12044404009 has 15 divisors (see below), whose sum is σ = 13263385485. Its totient is φ = 10937386020.

The previous prime is 12044403977. The next prime is 12044404063. The reversal of 12044404009 is 90040444021.

The square root of 12044404009 is 109747.

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

12044404009 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 12044404009 - 25 = 12044403977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12044404709) 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 14 ways as a sum of consecutive naturals, for example, 13278934 + ... + 13279840.

It is an arithmetic number, because the mean of its divisors is an integer number (884225699).

Almost surely, 212044404009 is an apocalyptic number.

12044404009 is the 109747-th square number.

12044404009 is the 54874-th centered octagonal number.

It is an amenable number.

12044404009 is a deficient number, since it is larger than the sum of its proper divisors (1218981476).

12044404009 is an frugal number, since it uses more digits than its factorization.

12044404009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 12044404009 in words is "twelve billion, forty-four million, four hundred four thousand, nine".

Divisors: 1 11 121 907 1331 9977 14641 109747 822649 1207217 9049139 13279387 99540529 1094945819 12044404009