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16844677440841 = 1716374057149197
BaseRepresentation
bin1111010100011111010100…
…0000111110010101001001
32012122100001112101200210101
43311013311000332111021
54201440344411101331
655454201001045401
73355662544551205
oct365076500762511
965570045350711
1016844677440841
115404873303798
121a80740486861
139525a55a9ac3
14423402b49b05
151e327e643061
hexf51f503e549

16844677440841 has 16 divisors (see below), whose sum is σ = 17850954650256. Its totient is φ = 15840117835776.

The previous prime is 16844677440817. The next prime is 16844677440893. The reversal of 16844677440841 is 14804477644861.

It can be written as a sum of positive squares in 8 ways, for example, as 3537393593616 + 13307283847225 = 1880796^2 + 3647915^2 .

It is a cyclic number.

It is not a de Polignac number, because 16844677440841 - 231 = 16842529957193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16844677440341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112827655 + ... + 112976851.

It is an arithmetic number, because the mean of its divisors is an integer number (1115684665641).

Almost surely, 216844677440841 is an apocalyptic number.

It is an amenable number.

16844677440841 is a deficient number, since it is larger than the sum of its proper divisors (1006277209415).

16844677440841 is a wasteful number, since it uses less digits than its factorization.

16844677440841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154908.

The product of its (nonzero) digits is 115605504, while the sum is 64.

The spelling of 16844677440841 in words is "sixteen trillion, eight hundred forty-four billion, six hundred seventy-seven million, four hundred forty thousand, eight hundred forty-one".

Divisors: 1 17 1637 4057 27829 68969 149197 2536349 6641309 112902253 244235489 605292229 4152003313 10289967893 990863378873 16844677440841