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45679213753 is a prime number
BaseRepresentation
bin101010100010101100…
…010111110010111001
311100220110111111011121
4222202230113302321
51222022334320003
632552412025241
73204654624205
oct524254276271
9140813444147
1045679213753
11184107a8428
128a29a62221
1343cc853284
1422d4955b05
1512c53a6cbd
hexaa2b17cb9

45679213753 has 2 divisors, whose sum is σ = 45679213754. Its totient is φ = 45679213752.

The previous prime is 45679213751. The next prime is 45679213757. The reversal of 45679213753 is 35731297654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37475926569 + 8203287184 = 193587^2 + 90572^2 .

It is a cyclic number.

It is not a de Polignac number, because 45679213753 - 21 = 45679213751 is a prime.

It is a super-3 number, since 3×456792137533 (a number of 33 digits) contains 333 as substring.

Together with 45679213751, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 45679213753.

It is not a weakly prime, because it can be changed into another prime (45679213751) 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, 22839606876 + 22839606877.

It is an arithmetic number, because the mean of its divisors is an integer number (22839606877).

Almost surely, 245679213753 is an apocalyptic number.

It is an amenable number.

45679213753 is a deficient number, since it is larger than the sum of its proper divisors (1).

45679213753 is an equidigital number, since it uses as much as digits as its factorization.

45679213753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4762800, while the sum is 52.

The spelling of 45679213753 in words is "forty-five billion, six hundred seventy-nine million, two hundred thirteen thousand, seven hundred fifty-three".