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83846135041 is a prime number
BaseRepresentation
bin100111000010110011…
…1100111110100000001
322000102101021222101221
41032011213213310001
52333204102310131
6102303545355041
76025533250204
oct1160547476401
9260371258357
1083846135041
1132616a59289
12142bba98a81
137ba2c03376
1440b58b993b
1522aae9e411
hex13859e7d01

83846135041 has 2 divisors, whose sum is σ = 83846135042. Its totient is φ = 83846135040.

The previous prime is 83846135039. The next prime is 83846135071. The reversal of 83846135041 is 14053164838.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48682009600 + 35164125441 = 220640^2 + 187521^2 .

It is a cyclic number.

It is not a de Polignac number, because 83846135041 - 21 = 83846135039 is a prime.

It is a super-2 number, since 2×838461350412 (a number of 23 digits) contains 22 as substring.

Together with 83846135039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (83846135071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41923067520 + 41923067521.

It is an arithmetic number, because the mean of its divisors is an integer number (41923067521).

Almost surely, 283846135041 is an apocalyptic number.

It is an amenable number.

83846135041 is a deficient number, since it is larger than the sum of its proper divisors (1).

83846135041 is an equidigital number, since it uses as much as digits as its factorization.

83846135041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 276480, while the sum is 43.

Adding to 83846135041 its reverse (14053164838), we get a palindrome (97899299879).

The spelling of 83846135041 in words is "eighty-three billion, eight hundred forty-six million, one hundred thirty-five thousand, forty-one".