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8084404381 is a prime number
BaseRepresentation
bin1111000011101111…
…00011100010011101
3202212102020021221111
413201313203202131
5113024101420011
63414112502021
7404224206034
oct74167434235
922772207844
108084404381
113479487739
12169754a911
139bab86141
1456999971b
15324b1e121
hex1e1de389d

8084404381 has 2 divisors, whose sum is σ = 8084404382. Its totient is φ = 8084404380.

The previous prime is 8084404379. The next prime is 8084404423. The reversal of 8084404381 is 1834044808.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4401128281 + 3683276100 = 66341^2 + 60690^2 .

It is a cyclic number.

It is not a de Polignac number, because 8084404381 - 21 = 8084404379 is a prime.

It is a super-2 number, since 2×80844043812 (a number of 21 digits) contains 22 as substring.

Together with 8084404379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8084414381) 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, 4042202190 + 4042202191.

It is an arithmetic number, because the mean of its divisors is an integer number (4042202191).

Almost surely, 28084404381 is an apocalyptic number.

It is an amenable number.

8084404381 is a deficient number, since it is larger than the sum of its proper divisors (1).

8084404381 is an equidigital number, since it uses as much as digits as its factorization.

8084404381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 8084404381 is about 89913.3159270639. The cubic root of 8084404381 is about 2007.0091059386.

The spelling of 8084404381 in words is "eight billion, eighty-four million, four hundred four thousand, three hundred eighty-one".