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185193378457 is a prime number
BaseRepresentation
bin1010110001111001100…
…0101011001010011001
3122201000110000101011221
42230132120223022121
511013234001102312
6221024320452041
716244156513113
oct2543630531231
9581013011157
10185193378457
11715a391a29a
122ba84a7a021
131460487c559
148d6b8383b3
154c3d60c207
hex2b1e62b299

185193378457 has 2 divisors, whose sum is σ = 185193378458. Its totient is φ = 185193378456.

The previous prime is 185193378421. The next prime is 185193378493. The reversal of 185193378457 is 754873391581.

185193378457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (185193378421) and next prime (185193378493).

It can be written as a sum of positive squares in only one way, i.e., 132423937801 + 52769440656 = 363901^2 + 229716^2 .

It is an emirp because it is prime and its reverse (754873391581) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-185193378457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 185193378395 and 185193378404.

It is not a weakly prime, because it can be changed into another prime (185193378857) 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, 92596689228 + 92596689229.

It is an arithmetic number, because the mean of its divisors is an integer number (92596689229).

Almost surely, 2185193378457 is an apocalyptic number.

It is an amenable number.

185193378457 is a deficient number, since it is larger than the sum of its proper divisors (1).

185193378457 is an equidigital number, since it uses as much as digits as its factorization.

185193378457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25401600, while the sum is 61.

The spelling of 185193378457 in words is "one hundred eighty-five billion, one hundred ninety-three million, three hundred seventy-eight thousand, four hundred fifty-seven".