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82828187089 is a prime number
BaseRepresentation
bin100110100100011110…
…0011101010111010001
321220210102211212022221
41031020330131113101
52324113003441324
6102014543301041
75661362655004
oct1151074352721
9256712755287
1082828187089
113214439698a
1214076baa781
137a70050abb
14401a61953b
15224b9250e4
hex1348f1d5d1

82828187089 has 2 divisors, whose sum is σ = 82828187090. Its totient is φ = 82828187088.

The previous prime is 82828187069. The next prime is 82828187129. The reversal of 82828187089 is 98078182828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77406368400 + 5421818689 = 278220^2 + 73633^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82828187089 is a prime.

It is not a weakly prime, because it can be changed into another prime (82828187069) 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, 41414093544 + 41414093545.

It is an arithmetic number, because the mean of its divisors is an integer number (41414093545).

Almost surely, 282828187089 is an apocalyptic number.

It is an amenable number.

82828187089 is a deficient number, since it is larger than the sum of its proper divisors (1).

82828187089 is an equidigital number, since it uses as much as digits as its factorization.

82828187089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8257536, while the sum is 61.

The spelling of 82828187089 in words is "eighty-two billion, eight hundred twenty-eight million, one hundred eighty-seven thousand, eighty-nine".