Search a number
-
+
186088454161 is a prime number
BaseRepresentation
bin1010110101001110111…
…1000111100000010001
3122210022211020221012221
42231103233013200101
511022102121013121
6221253213221041
716305305522221
oct2552357074021
9583284227187
10186088454161
1171a13098985
1230094791781
131471814074c
149014672081
154c91eb4b41
hex2b53bc7811

186088454161 has 2 divisors, whose sum is σ = 186088454162. Its totient is φ = 186088454160.

The previous prime is 186088454159. The next prime is 186088454231. The reversal of 186088454161 is 161454880681.

186088454161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185292367936 + 796086225 = 430456^2 + 28215^2 .

It is a cyclic number.

It is not a de Polignac number, because 186088454161 - 21 = 186088454159 is a prime.

Together with 186088454159, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 186088454099 and 186088454108.

It is not a weakly prime, because it can be changed into another prime (186088454131) 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, 93044227080 + 93044227081.

It is an arithmetic number, because the mean of its divisors is an integer number (93044227081).

Almost surely, 2186088454161 is an apocalyptic number.

It is an amenable number.

186088454161 is a deficient number, since it is larger than the sum of its proper divisors (1).

186088454161 is an equidigital number, since it uses as much as digits as its factorization.

186088454161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1474560, while the sum is 52.

The spelling of 186088454161 in words is "one hundred eighty-six billion, eighty-eight million, four hundred fifty-four thousand, one hundred sixty-one".