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67930298546137 is a prime number
BaseRepresentation
bin11110111001000010000010…
…10100000111011111011001
322220112001222022012012021021
433130201001110013133121
532400432222411434022
6400250425350242441
720210542060401136
oct1734410124073731
9286461868165237
1067930298546137
111a710094654415
12775141b656421
132bb9a51b37111
1412abbb5cb558d
157cc05272a7c7
hex3dc8415077d9

67930298546137 has 2 divisors, whose sum is σ = 67930298546138. Its totient is φ = 67930298546136.

The previous prime is 67930298546063. The next prime is 67930298546147. The reversal of 67930298546137 is 73164589203976.

67930298546137 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 can be written as a sum of positive squares in only one way, i.e., 67705974116496 + 224324429641 = 8228364^2 + 473629^2 .

It is a cyclic number.

It is not a de Polignac number, because 67930298546137 - 223 = 67930290157529 is a prime.

It is a super-2 number, since 2×679302985461372 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (67930298546147) 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, 33965149273068 + 33965149273069.

It is an arithmetic number, because the mean of its divisors is an integer number (33965149273069).

It is a 3-persistent number, because k⋅67930298546137 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 267930298546137 is an apocalyptic number.

It is an amenable number.

67930298546137 is a deficient number, since it is larger than the sum of its proper divisors (1).

67930298546137 is an equidigital number, since it uses as much as digits as its factorization.

67930298546137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 411505920, while the sum is 70.

The spelling of 67930298546137 in words is "sixty-seven trillion, nine hundred thirty billion, two hundred ninety-eight million, five hundred forty-six thousand, one hundred thirty-seven".