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8147006993 is a prime number
BaseRepresentation
bin1111001011001100…
…10111011000010001
3210000210000211120202
413211212113120101
5113141113210433
63424230344545
7405614262656
oct74546273021
923023024522
108147006993
113500855a34
1216b44bb155
139cab348c8
14574013c2d
1532a387ee8
hex1e5997611

8147006993 has 2 divisors, whose sum is σ = 8147006994. Its totient is φ = 8147006992.

The previous prime is 8147006981. The next prime is 8147007007. The reversal of 8147006993 is 3996007418.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7460986129 + 686020864 = 86377^2 + 26192^2 .

It is a cyclic number.

It is not a de Polignac number, because 8147006993 - 220 = 8145958417 is a prime.

It is not a weakly prime, because it can be changed into another prime (8147009993) 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, 4073503496 + 4073503497.

It is an arithmetic number, because the mean of its divisors is an integer number (4073503497).

Almost surely, 28147006993 is an apocalyptic number.

It is an amenable number.

8147006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

8147006993 is an equidigital number, since it uses as much as digits as its factorization.

8147006993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 8147006993 is about 90260.7721715253. The cubic root of 8147006993 is about 2012.1763011546.

The spelling of 8147006993 in words is "eight billion, one hundred forty-seven million, six thousand, nine hundred ninety-three".