Search a number
-
+
27801006643 is a prime number
BaseRepresentation
bin11001111001000100…
…011011001000110011
32122202111111110120201
4121321010123020303
5423414024203033
620434400020031
72002635441334
oct317104331063
978674443521
1027801006643
1110876a41853
12547a601617
1328109269b7
1414ba39028b
15acaa5a47d
hex67911b233

27801006643 has 2 divisors, whose sum is σ = 27801006644. Its totient is φ = 27801006642.

The previous prime is 27801006641. The next prime is 27801006647. The reversal of 27801006643 is 34660010872.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 27801006643 - 21 = 27801006641 is a prime.

It is a super-3 number, since 3×278010066433 (a number of 32 digits) contains 333 as substring.

Together with 27801006641, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (27801006641) 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, 13900503321 + 13900503322.

It is an arithmetic number, because the mean of its divisors is an integer number (13900503322).

Almost surely, 227801006643 is an apocalyptic number.

27801006643 is a deficient number, since it is larger than the sum of its proper divisors (1).

27801006643 is an equidigital number, since it uses as much as digits as its factorization.

27801006643 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 27801006643 in words is "twenty-seven billion, eight hundred one million, six thousand, six hundred forty-three".