Search a number
-
+
852149181677 is a prime number
BaseRepresentation
bin11000110011010000000…
…11001001110011101101
310000110112202000122121212
430121220003021303231
5102430200142303202
61451245534204205
7115365023350403
oct14315003116355
93013482018555
10852149181677
112a9437aa7852
1211919b053665
1362485067021
142d35c2a5473
15172766b6652
hexc6680c9ced

852149181677 has 2 divisors, whose sum is σ = 852149181678. Its totient is φ = 852149181676.

The previous prime is 852149181661. The next prime is 852149181739. The reversal of 852149181677 is 776181941258.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 775334841961 + 76814339716 = 880531^2 + 277154^2 .

It is a cyclic number.

It is not a de Polignac number, because 852149181677 - 24 = 852149181661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (852149181577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426074590838 + 426074590839.

It is an arithmetic number, because the mean of its divisors is an integer number (426074590839).

Almost surely, 2852149181677 is an apocalyptic number.

It is an amenable number.

852149181677 is a deficient number, since it is larger than the sum of its proper divisors (1).

852149181677 is an equidigital number, since it uses as much as digits as its factorization.

852149181677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6773760, while the sum is 59.

The spelling of 852149181677 in words is "eight hundred fifty-two billion, one hundred forty-nine million, one hundred eighty-one thousand, six hundred seventy-seven".