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1918286040193 is a prime number
BaseRepresentation
bin11011111010100010110…
…000100000110010000001
320210101102122121121010021
4123322202300200302001
5222412122211241233
64025125355133441
7255406626210055
oct33724260406201
96711378547107
101918286040193
1167a5a45073a6
1226b93a144281
1310bb80305c73
1468bba237c65
1534d742ede2d
hex1bea2c20c81

1918286040193 has 2 divisors, whose sum is σ = 1918286040194. Its totient is φ = 1918286040192.

The previous prime is 1918286040163. The next prime is 1918286040199. The reversal of 1918286040193 is 3910406828191.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1910568066289 + 7717973904 = 1382233^2 + 87852^2 .

It is an emirp because it is prime and its reverse (3910406828191) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1918286040193 - 213 = 1918286032001 is a prime.

It is a super-2 number, since 2×19182860401932 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1918286040193.

It is not a weakly prime, because it can be changed into another prime (1918286040199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 959143020096 + 959143020097.

It is an arithmetic number, because the mean of its divisors is an integer number (959143020097).

Almost surely, 21918286040193 is an apocalyptic number.

It is an amenable number.

1918286040193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1918286040193 is an equidigital number, since it uses as much as digits as its factorization.

1918286040193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 1918286040193 in words is "one trillion, nine hundred eighteen billion, two hundred eighty-six million, forty thousand, one hundred ninety-three".