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1681985167 is a prime number
BaseRepresentation
bin110010001000001…
…0000111010001111
311100012221200212221
41210100100322033
511421042011132
6434522440211
756452431562
oct14420207217
94305850787
101681985167
11793489395
123ab363067
1320a60c8c5
1411d5564d9
159c9e5e97
hex64410e8f

1681985167 has 2 divisors, whose sum is σ = 1681985168. Its totient is φ = 1681985166.

The previous prime is 1681985161. The next prime is 1681985171. The reversal of 1681985167 is 7615891861.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1681985167 - 211 = 1681983119 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1681985161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 840992583 + 840992584.

It is an arithmetic number, because the mean of its divisors is an integer number (840992584).

Almost surely, 21681985167 is an apocalyptic number.

1681985167 is a deficient number, since it is larger than the sum of its proper divisors (1).

1681985167 is an equidigital number, since it uses as much as digits as its factorization.

1681985167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 52.

The square root of 1681985167 is about 41012.0124719575. The cubic root of 1681985167 is about 1189.2524474207.

The spelling of 1681985167 in words is "one billion, six hundred eighty-one million, nine hundred eighty-five thousand, one hundred sixty-seven".