Search a number
-
+
86472779851093 is a prime number
BaseRepresentation
bin10011101010010110000011…
…010100110110010101010101
3102100011201100201002110012111
4103222112003110312111111
542313232223120213333
6503525014024351021
724133311045061366
oct2352260324662525
9370151321073174
1086472779851093
1125609999981259
129847007015471
13393346ab6ba9c
14174d43a819b6d
159ee54e9854cd
hex4ea583536555

86472779851093 has 2 divisors, whose sum is σ = 86472779851094. Its totient is φ = 86472779851092.

The previous prime is 86472779851043. The next prime is 86472779851103. The reversal of 86472779851093 is 39015897727468.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86438058000849 + 34721850244 = 9297207^2 + 186338^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-86472779851093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86472779851043) 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, 43236389925546 + 43236389925547.

It is an arithmetic number, because the mean of its divisors is an integer number (43236389925547).

It is a 1-persistent number, because it is pandigital, but 2⋅86472779851093 = 172945559702186 is not.

Almost surely, 286472779851093 is an apocalyptic number.

It is an amenable number.

86472779851093 is a deficient number, since it is larger than the sum of its proper divisors (1).

86472779851093 is an equidigital number, since it uses as much as digits as its factorization.

86472779851093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280240640, while the sum is 76.

The spelling of 86472779851093 in words is "eighty-six trillion, four hundred seventy-two billion, seven hundred seventy-nine million, eight hundred fifty-one thousand, ninety-three".