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12082214349 = 322946292009
BaseRepresentation
bin10110100000010011…
…11111010111001101
31011012000211002020100
423100021333113031
5144221021324344
65314523441313
7605260061502
oct132011772715
934160732210
1012082214349
115140105517
122412386239
1311a71bba7a
148288dd4a9
154aaab0569
hex2d027f5cd

12082214349 has 12 divisors (see below), whose sum is σ = 18053883900. Its totient is φ = 7777057344.

The previous prime is 12082214311. The next prime is 12082214351. The reversal of 12082214349 is 94341228021.

12082214349 is a `hidden beast` number, since 1 + 20 + 82 + 214 + 349 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4119329124 + 7962885225 = 64182^2 + 89235^2 .

It is not a de Polignac number, because 12082214349 - 220 = 12081165773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012214349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23145744 + ... + 23146265.

It is an arithmetic number, because the mean of its divisors is an integer number (1504490325).

Almost surely, 212082214349 is an apocalyptic number.

It is an amenable number.

12082214349 is a deficient number, since it is larger than the sum of its proper divisors (5971669551).

12082214349 is a wasteful number, since it uses less digits than its factorization.

12082214349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46292044 (or 46292041 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12082214349 in words is "twelve billion, eighty-two million, two hundred fourteen thousand, three hundred forty-nine".

Divisors: 1 3 9 29 87 261 46292009 138876027 416628081 1342468261 4027404783 12082214349