Search a number
-
+
27128628161 is a prime number
BaseRepresentation
bin11001010000111111…
…100000001111000001
32121000122022002200222
4121100333200033001
5421024412100121
620243540352425
71650162351245
oct312077401701
977018262628
1027128628161
1110561448958
1253113a5715
132734538acb
141454d66425
15a8b9e20ab
hex650fe03c1

27128628161 has 2 divisors, whose sum is σ = 27128628162. Its totient is φ = 27128628160.

The previous prime is 27128628119. The next prime is 27128628187. The reversal of 27128628161 is 16182682172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27127737025 + 891136 = 164705^2 + 944^2 .

It is a cyclic number.

It is not a de Polignac number, because 27128628161 - 26 = 27128628097 is a prime.

It is a super-3 number, since 3×271286281613 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (27128621161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13564314080 + 13564314081.

It is an arithmetic number, because the mean of its divisors is an integer number (13564314081).

Almost surely, 227128628161 is an apocalyptic number.

It is an amenable number.

27128628161 is a deficient number, since it is larger than the sum of its proper divisors (1).

27128628161 is an equidigital number, since it uses as much as digits as its factorization.

27128628161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 129024, while the sum is 44.

The spelling of 27128628161 in words is "twenty-seven billion, one hundred twenty-eight million, six hundred twenty-eight thousand, one hundred sixty-one".