Search a number
-
+
67852000217 is a prime number
BaseRepresentation
bin111111001100010010…
…110101101111011001
320111010201111202010002
4333030102311233121
52102430103001332
651100515502345
74621302325421
oct771422655731
9214121452102
1067852000217
112685975a041
12111975b79b5
136524421971
1433d9633481
151b71c66562
hexfcc4b5bd9

67852000217 has 2 divisors, whose sum is σ = 67852000218. Its totient is φ = 67852000216.

The previous prime is 67852000141. The next prime is 67852000219. The reversal of 67852000217 is 71200025876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53276025856 + 14575974361 = 230816^2 + 120731^2 .

It is a cyclic number.

It is not a de Polignac number, because 67852000217 - 232 = 63557032921 is a prime.

Together with 67852000219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (67852000219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33926000108 + 33926000109.

It is an arithmetic number, because the mean of its divisors is an integer number (33926000109).

Almost surely, 267852000217 is an apocalyptic number.

It is an amenable number.

67852000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

67852000217 is an equidigital number, since it uses as much as digits as its factorization.

67852000217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47040, while the sum is 38.

It can be divided in two parts, 6785 and 2000217, that added together give a palindrome (2007002).

The spelling of 67852000217 in words is "sixty-seven billion, eight hundred fifty-two million, two hundred seventeen", and thus it is an aban number.