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13875247094167 is a prime number
BaseRepresentation
bin1100100111101001010100…
…1011001001100110010111
31211010110102211022201011201
43021322111023021212113
53304313001224003132
645302111151213331
72631311362220614
oct311722513114627
954113384281151
1013875247094167
11446a506292018
121681148217247
13798579173b84
1435d7cbbc550b
15190dd8a4e2e7
hexc9e952c9997

13875247094167 has 2 divisors, whose sum is σ = 13875247094168. Its totient is φ = 13875247094166.

The previous prime is 13875247094161. The next prime is 13875247094227. The reversal of 13875247094167 is 76149074257831.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13875247094167 - 215 = 13875247061399 is a prime.

It is a super-3 number, since 3×138752470941673 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13875247094099 and 13875247094108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13875247094161) 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, 6937623547083 + 6937623547084.

It is an arithmetic number, because the mean of its divisors is an integer number (6937623547084).

It is a 1-persistent number, because it is pandigital, but 2⋅13875247094167 = 27750494188334 is not.

Almost surely, 213875247094167 is an apocalyptic number.

13875247094167 is a deficient number, since it is larger than the sum of its proper divisors (1).

13875247094167 is an equidigital number, since it uses as much as digits as its factorization.

13875247094167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 71124480, while the sum is 64.

The spelling of 13875247094167 in words is "thirteen trillion, eight hundred seventy-five billion, two hundred forty-seven million, ninety-four thousand, one hundred sixty-seven".