Search a number
-
+
2828587052129 is a prime number
BaseRepresentation
bin101001001010010100111…
…011010010110001100001
3101000102002002120022020012
4221022110323102301201
5332320421241132004
610003233541054305
7411234011145266
oct51122473226141
911012062508205
102828587052129
119a06627169a3
123982480b7395
13176971c42ab7
149ac9373b26d
154d8a0d4746e
hex29294ed2c61

2828587052129 has 2 divisors, whose sum is σ = 2828587052130. Its totient is φ = 2828587052128.

The previous prime is 2828587052119. The next prime is 2828587052149. The reversal of 2828587052129 is 9212507858282.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2492761007104 + 335826045025 = 1578848^2 + 579505^2 .

It is a cyclic number.

It is not a de Polignac number, because 2828587052129 - 224 = 2828570274913 is a prime.

It is a super-2 number, since 2×28285870521292 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2828587052119) 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, 1414293526064 + 1414293526065.

It is an arithmetic number, because the mean of its divisors is an integer number (1414293526065).

Almost surely, 22828587052129 is an apocalyptic number.

It is an amenable number.

2828587052129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2828587052129 is an equidigital number, since it uses as much as digits as its factorization.

2828587052129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12902400, while the sum is 59.

The spelling of 2828587052129 in words is "two trillion, eight hundred twenty-eight billion, five hundred eighty-seven million, fifty-two thousand, one hundred twenty-nine".