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1018261728149 is a prime number
BaseRepresentation
bin11101101000101010010…
…00001110101110010101
310121100022102002100000212
432310111020032232111
5113140400000300044
62055441042415205
7133365321610661
oct16642510165625
93540272070025
101018261728149
1136292a221606
12145419961505
13750387b6b43
14373d99238a1
151b749abda9e
hexed1520eb95

1018261728149 has 2 divisors, whose sum is σ = 1018261728150. Its totient is φ = 1018261728148.

The previous prime is 1018261728109. The next prime is 1018261728179. The reversal of 1018261728149 is 9418271628101.

1018261728149 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., 1016174883025 + 2086845124 = 1008055^2 + 45682^2 .

It is a cyclic number.

It is not a de Polignac number, because 1018261728149 - 28 = 1018261727893 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1018261728097 and 1018261728106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1018261728109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 509130864074 + 509130864075.

It is an arithmetic number, because the mean of its divisors is an integer number (509130864075).

Almost surely, 21018261728149 is an apocalyptic number.

It is an amenable number.

1018261728149 is a deficient number, since it is larger than the sum of its proper divisors (1).

1018261728149 is an equidigital number, since it uses as much as digits as its factorization.

1018261728149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 387072, while the sum is 50.

The spelling of 1018261728149 in words is "one trillion, eighteen billion, two hundred sixty-one million, seven hundred twenty-eight thousand, one hundred forty-nine".