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185193329249 is a prime number
BaseRepresentation
bin1010110001111001100…
…0011111001001100001
3122201000102220212200102
42230132120133021201
511013233443013444
6221024315432145
716244156216465
oct2543630371141
9581012825612
10185193329249
11715a3896325
122ba84a55655
1314604863036
148d6b8244a5
154c3d5ec84e
hex2b1e61f261

185193329249 has 2 divisors, whose sum is σ = 185193329250. Its totient is φ = 185193329248.

The previous prime is 185193329231. The next prime is 185193329261. The reversal of 185193329249 is 942923391581.

It is a happy number.

185193329249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126238090000 + 58955239249 = 355300^2 + 242807^2 .

It is a cyclic number.

It is not a de Polignac number, because 185193329249 - 232 = 180898361953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 185193329194 and 185193329203.

It is not a weakly prime, because it can be changed into another prime (185193329449) 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, 92596664624 + 92596664625.

It is an arithmetic number, because the mean of its divisors is an integer number (92596664625).

Almost surely, 2185193329249 is an apocalyptic number.

It is an amenable number.

185193329249 is a deficient number, since it is larger than the sum of its proper divisors (1).

185193329249 is an equidigital number, since it uses as much as digits as its factorization.

185193329249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4199040, while the sum is 56.

The spelling of 185193329249 in words is "one hundred eighty-five billion, one hundred ninety-three million, three hundred twenty-nine thousand, two hundred forty-nine".