Search a number
-
+
67185163094221 is a prime number
BaseRepresentation
bin11110100011010110000111…
…10001111100100011001101
322210212211122112101021101001
433101223003301330203031
532301230203223003341
6354520234323420301
720102652654510604
oct1721530361744315
9283784575337331
1067185163094221
111a453082064747
127650b27224691
132b646c26b1ba3
141283aca362a3b
157b7990dcad31
hex3d1ac3c7c8cd

67185163094221 has 2 divisors, whose sum is σ = 67185163094222. Its totient is φ = 67185163094220.

The previous prime is 67185163094141. The next prime is 67185163094243. The reversal of 67185163094221 is 12249036158176.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53151186116196 + 14033976978025 = 7290486^2 + 3746195^2 .

It is a cyclic number.

It is not a de Polignac number, because 67185163094221 - 213 = 67185163086029 is a prime.

It is a super-2 number, since 2×671851630942212 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67185163095221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33592581547110 + 33592581547111.

It is an arithmetic number, because the mean of its divisors is an integer number (33592581547111).

It is a 1-persistent number, because it is pandigital, but 2⋅67185163094221 = 134370326188442 is not.

Almost surely, 267185163094221 is an apocalyptic number.

It is an amenable number.

67185163094221 is a deficient number, since it is larger than the sum of its proper divisors (1).

67185163094221 is an equidigital number, since it uses as much as digits as its factorization.

67185163094221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 67185163094221 in words is "sixty-seven trillion, one hundred eighty-five billion, one hundred sixty-three million, ninety-four thousand, two hundred twenty-one".