Search a number
-
+
27518380033 is a prime number
BaseRepresentation
bin11001101000001110…
…010010100000000001
32122000210200112202111
4121220032102200001
5422324201130113
620350342215321
71662634241134
oct315016224001
978023615674
1027518380033
1110741454241
1253bba24541
1327971cc911
141490a2021b
15ab0d2e13d
hex668392801

27518380033 has 2 divisors, whose sum is σ = 27518380034. Its totient is φ = 27518380032.

The previous prime is 27518379997. The next prime is 27518380051. The reversal of 27518380033 is 33008381572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15448501264 + 12069878769 = 124292^2 + 109863^2 .

It is a cyclic number.

It is not a de Polignac number, because 27518380033 - 29 = 27518379521 is a prime.

It is a super-2 number, since 2×275183800332 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27518380133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13759190016 + 13759190017.

It is an arithmetic number, because the mean of its divisors is an integer number (13759190017).

Almost surely, 227518380033 is an apocalyptic number.

It is an amenable number.

27518380033 is a deficient number, since it is larger than the sum of its proper divisors (1).

27518380033 is an equidigital number, since it uses as much as digits as its factorization.

27518380033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 40.

It can be divided in two parts, 275183 and 80033, that added together give a square (355216 = 5962).

The spelling of 27518380033 in words is "twenty-seven billion, five hundred eighteen million, three hundred eighty thousand, thirty-three".