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12046405305 = 3511363120107
BaseRepresentation
bin10110011100000010…
…11000111010111001
31011002112102210110110
423032001120322321
5144132334432210
65311204134533
7604343520114
oct131601307271
934075383413
1012046405305
115121977670
122402397449
13119c96199c
14823c5b57b
154a788a420
hex2ce058eb9

12046405305 has 32 divisors (see below), whose sum is σ = 21033289728. Its totient is φ = 5838782400.

The previous prime is 12046405303. The next prime is 12046405313. The reversal of 12046405305 is 50350464021.

12046405305 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 12046405305 - 21 = 12046405303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12046405303) 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 31 ways as a sum of consecutive naturals, for example, 589062 + ... + 609168.

It is an arithmetic number, because the mean of its divisors is an integer number (657290304).

Almost surely, 212046405305 is an apocalyptic number.

12046405305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12046405305 is a deficient number, since it is larger than the sum of its proper divisors (8986884423).

12046405305 is a wasteful number, since it uses less digits than its factorization.

12046405305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23757.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 12046405305 its reverse (50350464021), we get a palindrome (62396869326).

The spelling of 12046405305 in words is "twelve billion, forty-six million, four hundred five thousand, three hundred five".

Divisors: 1 3 5 11 15 33 55 165 3631 10893 18155 20107 39941 54465 60321 100535 119823 199705 221177 301605 599115 663531 1105885 3317655 73008517 219025551 365042585 803093687 1095127755 2409281061 4015468435 12046405305