Search a number
-
+
27755512677157 is a prime number
BaseRepresentation
bin1100100111110010101010…
…11110010100001100100101
310122021101211101211001210211
412103321111132110030211
512114221242221132112
6135010412334215421
75563161323052346
oct623712536241445
9118241741731724
1027755512677157
118931057359a61
123143255054571
131264444c4ac55
146bd5342c20cd
15331eb7e580a7
hex193e55794325

27755512677157 has 2 divisors, whose sum is σ = 27755512677158. Its totient is φ = 27755512677156.

The previous prime is 27755512677041. The next prime is 27755512677199. The reversal of 27755512677157 is 75177621555772.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27521030110401 + 234482566756 = 5246049^2 + 484234^2 .

It is a cyclic number.

It is not a de Polignac number, because 27755512677157 - 223 = 27755504288549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27755512677092 and 27755512677101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27755512677257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13877756338578 + 13877756338579.

It is an arithmetic number, because the mean of its divisors is an integer number (13877756338579).

Almost surely, 227755512677157 is an apocalyptic number.

It is an amenable number.

27755512677157 is a deficient number, since it is larger than the sum of its proper divisors (1).

27755512677157 is an equidigital number, since it uses as much as digits as its factorization.

27755512677157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252105000, while the sum is 67.

The spelling of 27755512677157 in words is "twenty-seven trillion, seven hundred fifty-five billion, five hundred twelve million, six hundred seventy-seven thousand, one hundred fifty-seven".