Search a number
-
+
819457886609 is a prime number
BaseRepresentation
bin10111110110010110111…
…11110000100110010001
32220100011102120210110122
423323023133300212101
5101411222204332414
61424242002240025
7113126634052265
oct13731337604621
92810142523418
10819457886609
11296591682a1a
12112996956015
135c37524574b
142b93a6520a5
15164b1676b8e
hexbecb7f0991

819457886609 has 2 divisors, whose sum is σ = 819457886610. Its totient is φ = 819457886608.

The previous prime is 819457886603. The next prime is 819457886669. The reversal of 819457886609 is 906688754918.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 512656000000 + 306801886609 = 716000^2 + 553897^2 .

It is a cyclic number.

It is not a de Polignac number, because 819457886609 - 24 = 819457886593 is a prime.

It is a super-2 number, since 2×8194578866092 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (819457886603) 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, 409728943304 + 409728943305.

It is an arithmetic number, because the mean of its divisors is an integer number (409728943305).

Almost surely, 2819457886609 is an apocalyptic number.

It is an amenable number.

819457886609 is a deficient number, since it is larger than the sum of its proper divisors (1).

819457886609 is an equidigital number, since it uses as much as digits as its factorization.

819457886609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209018880, while the sum is 71.

The spelling of 819457886609 in words is "eight hundred nineteen billion, four hundred fifty-seven million, eight hundred eighty-six thousand, six hundred nine".