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8137812427333 is a prime number
BaseRepresentation
bin111011001101011101101…
…1010110100001001000101
31001210222010010210002001121
41312122323122310021011
52031312214440133313
625150243122353541
71466636402215531
oct166327332641105
931728103702047
108137812427333
112658254a65686
12ab51b4abb8b1
134705141b6154
14201c2d546bc1
15e1a3aac228d
hex766bb6b4245

8137812427333 has 2 divisors, whose sum is σ = 8137812427334. Its totient is φ = 8137812427332.

The previous prime is 8137812427273. The next prime is 8137812427399. The reversal of 8137812427333 is 3337242187318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5719669245889 + 2418143181444 = 2391583^2 + 1555038^2 .

It is a cyclic number.

It is not a de Polignac number, because 8137812427333 - 217 = 8137812296261 is a prime.

It is a super-2 number, since 2×81378124273332 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8137812427733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4068906213666 + 4068906213667.

It is an arithmetic number, because the mean of its divisors is an integer number (4068906213667).

Almost surely, 28137812427333 is an apocalyptic number.

It is an amenable number.

8137812427333 is a deficient number, since it is larger than the sum of its proper divisors (1).

8137812427333 is an equidigital number, since it uses as much as digits as its factorization.

8137812427333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4064256, while the sum is 52.

The spelling of 8137812427333 in words is "eight trillion, one hundred thirty-seven billion, eight hundred twelve million, four hundred twenty-seven thousand, three hundred thirty-three".