Search a number
-
+
86728305541 is a prime number
BaseRepresentation
bin101000011000101101…
…0001110101110000101
322021212020121102001111
41100301122032232011
52410104421234131
6103501544325021
76160131301513
oct1206132165605
9267766542044
1086728305541
113386595a679
1214985173771
1382420708b7
1442aa5ad4b3
1523c901aab1
hex143168eb85

86728305541 has 2 divisors, whose sum is σ = 86728305542. Its totient is φ = 86728305540.

The previous prime is 86728305523. The next prime is 86728305551. The reversal of 86728305541 is 14550382768.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71489390625 + 15238914916 = 267375^2 + 123446^2 .

It is a cyclic number.

It is not a de Polignac number, because 86728305541 - 213 = 86728297349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86728305551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43364152770 + 43364152771.

It is an arithmetic number, because the mean of its divisors is an integer number (43364152771).

Almost surely, 286728305541 is an apocalyptic number.

It is an amenable number.

86728305541 is a deficient number, since it is larger than the sum of its proper divisors (1).

86728305541 is an equidigital number, since it uses as much as digits as its factorization.

86728305541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 86728305541 in words is "eighty-six billion, seven hundred twenty-eight million, three hundred five thousand, five hundred forty-one".