Search a number
-
+
45786312029 is a prime number
BaseRepresentation
bin101010101001000100…
…111010110101011101
311101011221000122101102
4222221010322311131
51222232243441104
633011155322445
73210425142113
oct525104726535
9141157018342
1045786312029
11184661a79a7
128a598b0425
134418ab0933
142304c73ab3
1512ce9aea1e
hexaa913ad5d

45786312029 has 2 divisors, whose sum is σ = 45786312030. Its totient is φ = 45786312028.

The previous prime is 45786311981. The next prime is 45786312031. The reversal of 45786312029 is 92021368754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42969144100 + 2817167929 = 207290^2 + 53077^2 .

It is a cyclic number.

It is not a de Polignac number, because 45786312029 - 212 = 45786307933 is a prime.

Together with 45786312031, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45786312049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22893156014 + 22893156015.

It is an arithmetic number, because the mean of its divisors is an integer number (22893156015).

It is a 1-persistent number, because it is pandigital, but 2⋅45786312029 = 91572624058 is not.

Almost surely, 245786312029 is an apocalyptic number.

It is an amenable number.

45786312029 is a deficient number, since it is larger than the sum of its proper divisors (1).

45786312029 is an equidigital number, since it uses as much as digits as its factorization.

45786312029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 45786312029 in words is "forty-five billion, seven hundred eighty-six million, three hundred twelve thousand, twenty-nine".