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2164640343757 is a prime number
BaseRepresentation
bin11111011111111110100…
…111100110011011001101
321122221022111200212220121
4133133332213212123031
5240431140412000012
64334231054544541
7312250543223203
oct37377647463315
97587274625817
102164640343757
11765023050991
122ab631808151
13129180ca5418
1476aaa7a3073
153b49202ba07
hex1f7fe9e66cd

2164640343757 has 2 divisors, whose sum is σ = 2164640343758. Its totient is φ = 2164640343756.

The previous prime is 2164640343743. The next prime is 2164640343763. The reversal of 2164640343757 is 7573430464612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1687572472356 + 477067871401 = 1299066^2 + 690701^2 .

It is a cyclic number.

It is not a de Polignac number, because 2164640343757 - 231 = 2162492860109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2164640343157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1082320171878 + 1082320171879.

It is an arithmetic number, because the mean of its divisors is an integer number (1082320171879).

Almost surely, 22164640343757 is an apocalyptic number.

It is an amenable number.

2164640343757 is a deficient number, since it is larger than the sum of its proper divisors (1).

2164640343757 is an equidigital number, since it uses as much as digits as its factorization.

2164640343757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 52.

The spelling of 2164640343757 in words is "two trillion, one hundred sixty-four billion, six hundred forty million, three hundred forty-three thousand, seven hundred fifty-seven".