Search a number
-
+
85283727337 is a prime number
BaseRepresentation
bin100111101101101001…
…1100110011111101001
322011010120101020022001
41033123103212133221
52344130113233322
6103102342131001
76106260502324
oct1173323463751
9264116336261
1085283727337
1133194493696
1214641420a61
1380719b47b3
1441b07b57bb
1523422bc827
hex13db4e67e9

85283727337 has 2 divisors, whose sum is σ = 85283727338. Its totient is φ = 85283727336.

The previous prime is 85283727323. The next prime is 85283727379. The reversal of 85283727337 is 73372738258.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58720920976 + 26562806361 = 242324^2 + 162981^2 .

It is a cyclic number.

It is not a de Polignac number, because 85283727337 - 227 = 85149509609 is a prime.

It is a super-2 number, since 2×852837273372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85283727317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42641863668 + 42641863669.

It is an arithmetic number, because the mean of its divisors is an integer number (42641863669).

Almost surely, 285283727337 is an apocalyptic number.

It is an amenable number.

85283727337 is a deficient number, since it is larger than the sum of its proper divisors (1).

85283727337 is an equidigital number, since it uses as much as digits as its factorization.

85283727337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11854080, while the sum is 55.

The spelling of 85283727337 in words is "eighty-five billion, two hundred eighty-three million, seven hundred twenty-seven thousand, three hundred thirty-seven".