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84146316041 is a prime number
BaseRepresentation
bin100111001011110000…
…0101110001100001001
322001012022010202022202
41032113200232030021
52334312424103131
6102353431325545
76036136612364
oct1162740561411
9261168122282
1084146316041
1132760446757
12143845208b5
137c20165668
1441036d90db
1522c74e6bcb
hex139782e309

84146316041 has 2 divisors, whose sum is σ = 84146316042. Its totient is φ = 84146316040.

The previous prime is 84146316031. The next prime is 84146316043. The reversal of 84146316041 is 14061364148.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84126102025 + 20214016 = 290045^2 + 4496^2 .

It is a cyclic number.

It is not a de Polignac number, because 84146316041 - 26 = 84146315977 is a prime.

Together with 84146316043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 84146315986 and 84146316004.

It is not a weakly prime, because it can be changed into another prime (84146316043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42073158020 + 42073158021.

It is an arithmetic number, because the mean of its divisors is an integer number (42073158021).

Almost surely, 284146316041 is an apocalyptic number.

It is an amenable number.

84146316041 is a deficient number, since it is larger than the sum of its proper divisors (1).

84146316041 is an equidigital number, since it uses as much as digits as its factorization.

84146316041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 84146316041 in words is "eighty-four billion, one hundred forty-six million, three hundred sixteen thousand, forty-one".