Search a number
-
+
45124212569 is a prime number
BaseRepresentation
bin101010000001100111…
…001101011101011001
311022110210011111200012
4222001213031131121
51214403244300234
632421344251305
73155135323022
oct520147153531
9138423144605
1045124212569
1118156494867
1288b4010b35
1343418815c7
142280d63c49
1512917c70ce
hexa819cd759

45124212569 has 2 divisors, whose sum is σ = 45124212570. Its totient is φ = 45124212568.

The previous prime is 45124212487. The next prime is 45124212571. The reversal of 45124212569 is 96521242154.

45124212569 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23840904025 + 21283308544 = 154405^2 + 145888^2 .

It is a cyclic number.

It is not a de Polignac number, because 45124212569 - 28 = 45124212313 is a prime.

It is a super-2 number, since 2×451242125692 (a number of 22 digits) contains 22 as substring.

Together with 45124212571, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (45124212869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22562106284 + 22562106285.

It is an arithmetic number, because the mean of its divisors is an integer number (22562106285).

Almost surely, 245124212569 is an apocalyptic number.

It is an amenable number.

45124212569 is a deficient number, since it is larger than the sum of its proper divisors (1).

45124212569 is an equidigital number, since it uses as much as digits as its factorization.

45124212569 is an evil number, because the sum of its binary digits is even.

The product of its digits is 172800, while the sum is 41.

The spelling of 45124212569 in words is "forty-five billion, one hundred twenty-four million, two hundred twelve thousand, five hundred sixty-nine".