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2114066355749 is a prime number
BaseRepresentation
bin11110110000111000001…
…011001001011000100101
321111002202220211002202122
4132300320023021120211
5234114101441340444
64255104430515325
7305510351350055
oct36607013113045
97432686732678
102114066355749
11745630387187
122a1878665b45
1312448134682a
147446db3b565
1539ed20a64ee
hex1ec382c9625

2114066355749 has 2 divisors, whose sum is σ = 2114066355750. Its totient is φ = 2114066355748.

The previous prime is 2114066355659. The next prime is 2114066355787. The reversal of 2114066355749 is 9475536604112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1264010015524 + 850056340225 = 1124282^2 + 921985^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114066355749 - 216 = 2114066290213 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2114066355749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114066355449) 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 as a sum of consecutive naturals, namely, 1057033177874 + 1057033177875.

It is an arithmetic number, because the mean of its divisors is an integer number (1057033177875).

Almost surely, 22114066355749 is an apocalyptic number.

It is an amenable number.

2114066355749 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114066355749 is an equidigital number, since it uses as much as digits as its factorization.

2114066355749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 2114066355749 in words is "two trillion, one hundred fourteen billion, sixty-six million, three hundred fifty-five thousand, seven hundred forty-nine".