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9981408667 is a prime number
BaseRepresentation
bin10010100101111000…
…00011010110011011
3221202121210002121111
421102330003112123
5130420220034132
64330240121151
7502230400546
oct112274032633
927677702544
109981408667
11426227707a
121b269061b7
13c30bab299
146a98c385d
153d6439647
hex252f0359b

9981408667 has 2 divisors, whose sum is σ = 9981408668. Its totient is φ = 9981408666.

The previous prime is 9981408623. The next prime is 9981408709. The reversal of 9981408667 is 7668041899.

9981408667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9981408667 is a prime.

It is not a weakly prime, because it can be changed into another prime (9981408617) 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, 4990704333 + 4990704334.

It is an arithmetic number, because the mean of its divisors is an integer number (4990704334).

Almost surely, 29981408667 is an apocalyptic number.

9981408667 is a deficient number, since it is larger than the sum of its proper divisors (1).

9981408667 is an equidigital number, since it uses as much as digits as its factorization.

9981408667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5225472, while the sum is 58.

The square root of 9981408667 is about 99907.0000900838. Note that the first 4 decimals coincide. The cubic root of 9981408667 is about 2153.0987346915.

The spelling of 9981408667 in words is "nine billion, nine hundred eighty-one million, four hundred eight thousand, six hundred sixty-seven".