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47145939857 is a prime number
BaseRepresentation
bin101011111010000111…
…011111001110010001
311111200200101220010122
4223322013133032101
51233023330033412
633354125040025
73256214606462
oct537207371621
9144620356118
1047145939857
1118aa3721465
1291790b6015
1345a4695343
1423d3676d69
15135e02c572
hexafa1df391

47145939857 has 2 divisors, whose sum is σ = 47145939858. Its totient is φ = 47145939856.

The previous prime is 47145939779. The next prime is 47145939859. The reversal of 47145939857 is 75893954174.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35959916161 + 11186023696 = 189631^2 + 105764^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47145939857 is a prime.

It is a super-2 number, since 2×471459398572 (a number of 22 digits) contains 22 as substring.

Together with 47145939859, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47145939857.

It is not a weakly prime, because it can be changed into another prime (47145939859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23572969928 + 23572969929.

It is an arithmetic number, because the mean of its divisors is an integer number (23572969929).

Almost surely, 247145939857 is an apocalyptic number.

It is an amenable number.

47145939857 is a deficient number, since it is larger than the sum of its proper divisors (1).

47145939857 is an equidigital number, since it uses as much as digits as its factorization.

47145939857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38102400, while the sum is 62.

The spelling of 47145939857 in words is "forty-seven billion, one hundred forty-five million, nine hundred thirty-nine thousand, eight hundred fifty-seven".