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168918344167 is a prime number
BaseRepresentation
bin1001110101010001010…
…0010110000111100111
3121011000012122222021011
42131110110112013213
510231421044003132
6205333334203051
715126645143416
oct2352424260747
9534005588234
10168918344167
1165702002131
12288a24b3487
1312c0cb29c51
14826615147d
1545d98d9b47
hex27545161e7

168918344167 has 2 divisors, whose sum is σ = 168918344168. Its totient is φ = 168918344166.

The previous prime is 168918344117. The next prime is 168918344171. The reversal of 168918344167 is 761443819861.

168918344167 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 not a de Polignac number, because 168918344167 - 27 = 168918344039 is a prime.

It is a super-2 number, since 2×1689183441672 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (168918344107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 84459172083 + 84459172084.

It is an arithmetic number, because the mean of its divisors is an integer number (84459172084).

Almost surely, 2168918344167 is an apocalyptic number.

168918344167 is a deficient number, since it is larger than the sum of its proper divisors (1).

168918344167 is an equidigital number, since it uses as much as digits as its factorization.

168918344167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6967296, while the sum is 58.

The spelling of 168918344167 in words is "one hundred sixty-eight billion, nine hundred eighteen million, three hundred forty-four thousand, one hundred sixty-seven".