Search a number
-
+
2427092347697 is a prime number
BaseRepresentation
bin100011010100011001111…
…110100010101100110001
322121000202020110002012222
4203110121332202230301
5304231141120111242
65054554004130425
7340231416363353
oct43243176425461
98530666402188
102427092347697
118563623a0a86
12332478396a15
13147b48a47984
1485686c530d3
15432030ed5d2
hex23519fa2b31

2427092347697 has 2 divisors, whose sum is σ = 2427092347698. Its totient is φ = 2427092347696.

The previous prime is 2427092347661. The next prime is 2427092347769. The reversal of 2427092347697 is 7967432907242.

2427092347697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (2427092347769) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1769953516816 + 657138830881 = 1330396^2 + 810641^2 .

It is a cyclic number.

It is not a de Polignac number, because 2427092347697 - 228 = 2426823912241 is a prime.

It is a super-3 number, since 3×24270923476973 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2427092347597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1213546173848 + 1213546173849.

It is an arithmetic number, because the mean of its divisors is an integer number (1213546173849).

Almost surely, 22427092347697 is an apocalyptic number.

It is an amenable number.

2427092347697 is a deficient number, since it is larger than the sum of its proper divisors (1).

2427092347697 is an equidigital number, since it uses as much as digits as its factorization.

2427092347697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64012032, while the sum is 62.

The spelling of 2427092347697 in words is "two trillion, four hundred twenty-seven billion, ninety-two million, three hundred forty-seven thousand, six hundred ninety-seven".