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86585829793 is a prime number
BaseRepresentation
bin101000010100011101…
…0101110100110100001
322021111022111220001221
41100220322232212201
52404311433023133
6103435454455041
76153451260361
oct1205072564641
9267438456057
1086585829793
11337a2497521
1214945504481
13821b6a7718
1442956c29a1
1523bb775a2d
hex1428eae9a1

86585829793 has 2 divisors, whose sum is σ = 86585829794. Its totient is φ = 86585829792.

The previous prime is 86585829791. The next prime is 86585829809. The reversal of 86585829793 is 39792858568.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81414350224 + 5171479569 = 285332^2 + 71913^2 .

It is a cyclic number.

It is not a de Polignac number, because 86585829793 - 21 = 86585829791 is a prime.

Together with 86585829791, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (86585829791) 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, 43292914896 + 43292914897.

It is an arithmetic number, because the mean of its divisors is an integer number (43292914897).

Almost surely, 286585829793 is an apocalyptic number.

It is an amenable number.

86585829793 is a deficient number, since it is larger than the sum of its proper divisors (1).

86585829793 is an equidigital number, since it uses as much as digits as its factorization.

86585829793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 261273600, while the sum is 70.

The spelling of 86585829793 in words is "eighty-six billion, five hundred eighty-five million, eight hundred twenty-nine thousand, seven hundred ninety-three".