Search a number
-
+
18742518133 is a prime number
BaseRepresentation
bin10001011101001001…
…000010000101110101
31210101012100120102021
4101131021002011311
5301341041040013
612335445113141
71232312530003
oct213511020565
953335316367
1018742518133
117a48732309
1237709b87b1
1319c9008721
14c9b2b1a73
1574a678a8d
hex45d242175

18742518133 has 2 divisors, whose sum is σ = 18742518134. Its totient is φ = 18742518132.

The previous prime is 18742518127. The next prime is 18742518143. The reversal of 18742518133 is 33181524781.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16488357649 + 2254160484 = 128407^2 + 47478^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-18742518133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 18742518133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18742518103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9371259066 + 9371259067.

It is an arithmetic number, because the mean of its divisors is an integer number (9371259067).

Almost surely, 218742518133 is an apocalyptic number.

It is an amenable number.

18742518133 is a deficient number, since it is larger than the sum of its proper divisors (1).

18742518133 is an equidigital number, since it uses as much as digits as its factorization.

18742518133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 161280, while the sum is 43.

It can be divided in two parts, 1874251 and 8133, that added together give a square (1882384 = 13722).

The spelling of 18742518133 in words is "eighteen billion, seven hundred forty-two million, five hundred eighteen thousand, one hundred thirty-three".