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2667167271289 is a prime number
BaseRepresentation
bin100110110011111111100…
…011101100100101111001
3100102222102110202211001201
4212303333203230211321
5322144324310140124
65401140231014201
7363460614512323
oct46637743544571
910388373684051
102667167271289
11939159434444
12370ab8b0a361
131646887bcc91
149313d446613
15495a4909144
hex26cff8ec979

2667167271289 has 2 divisors, whose sum is σ = 2667167271290. Its totient is φ = 2667167271288.

The previous prime is 2667167271229. The next prime is 2667167271343. The reversal of 2667167271289 is 9821727617662.

2667167271289 is digitally balanced in base 3, 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., 1971544549689 + 695622721600 = 1404117^2 + 834040^2 .

It is a cyclic number.

It is not a de Polignac number, because 2667167271289 - 211 = 2667167269241 is a prime.

It is a super-2 number, since 2×26671672712892 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2667167271289.

It is not a weakly prime, because it can be changed into another prime (2667167271229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1333583635644 + 1333583635645.

It is an arithmetic number, because the mean of its divisors is an integer number (1333583635645).

Almost surely, 22667167271289 is an apocalyptic number.

It is an amenable number.

2667167271289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2667167271289 is an equidigital number, since it uses as much as digits as its factorization.

2667167271289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42674688, while the sum is 64.

The spelling of 2667167271289 in words is "two trillion, six hundred sixty-seven billion, one hundred sixty-seven million, two hundred seventy-one thousand, two hundred eighty-nine".