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182745156401 is a prime number
BaseRepresentation
bin1010101000110001110…
…1011100101100110001
3122110200211020210212222
42222030131130230301
510443230230001101
6215541342530425
716126411125353
oct2521435345461
9573624223788
10182745156401
1170557970885
122b500b96a15
13143045ab852
148bb86250d3
154b4870d01b
hex2a8c75cb31

182745156401 has 2 divisors, whose sum is σ = 182745156402. Its totient is φ = 182745156400.

The previous prime is 182745156371. The next prime is 182745156421. The reversal of 182745156401 is 104651547281.

182745156401 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., 174824334400 + 7920822001 = 418120^2 + 88999^2 .

It is an emirp because it is prime and its reverse (104651547281) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-182745156401 is a prime.

It is not a weakly prime, because it can be changed into another prime (182745156421) 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, 91372578200 + 91372578201.

It is an arithmetic number, because the mean of its divisors is an integer number (91372578201).

Almost surely, 2182745156401 is an apocalyptic number.

It is an amenable number.

182745156401 is a deficient number, since it is larger than the sum of its proper divisors (1).

182745156401 is an equidigital number, since it uses as much as digits as its factorization.

182745156401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 182745156401 in words is "one hundred eighty-two billion, seven hundred forty-five million, one hundred fifty-six thousand, four hundred one".