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12046111441 = 721318910693
BaseRepresentation
bin10110011100000000…
…10001001011010001
31011002111212212100121
423032000101023101
5144132301031231
65311153550241
7604341154300
oct131600211321
934074785317
1012046111441
115121796901
122402275381
13119c88acc0
14823bc2437
154a782d311
hex2ce0112d1

12046111441 has 12 divisors (see below), whose sum is σ = 15090733812. Its totient is φ = 9530988768.

The previous prime is 12046111439. The next prime is 12046111487. The reversal of 12046111441 is 14411164021.

It can be written as a sum of positive squares in 2 ways, for example, as 7503890625 + 4542220816 = 86625^2 + 67396^2 .

It is not a de Polignac number, because 12046111441 - 21 = 12046111439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12046111741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9454710 + ... + 9455983.

It is an arithmetic number, because the mean of its divisors is an integer number (1257561151).

Almost surely, 212046111441 is an apocalyptic number.

It is an amenable number.

12046111441 is a deficient number, since it is larger than the sum of its proper divisors (3044622371).

12046111441 is a wasteful number, since it uses less digits than its factorization.

12046111441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18910720 (or 18910713 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 12046111441 its reverse (14411164021), we get a palindrome (26457275462).

The spelling of 12046111441 in words is "twelve billion, forty-six million, one hundred eleven thousand, four hundred forty-one".

Divisors: 1 7 13 49 91 637 18910693 132374851 245839009 926623957 1720873063 12046111441