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67733881438889 is a prime number
BaseRepresentation
bin11110110011010100001011…
…11100010100001010101001
322212211021222122202022122102
433121222011330110022221
532334222442122021024
6400020303210103145
720160416503465451
oct1731520574241251
9285737878668572
1067733881438889
111a644861287606
12771b343a1aab5
132ba437bbb8533
1412a24a19acd61
157c6da8ad91ae
hex3d9a85f142a9

67733881438889 has 2 divisors, whose sum is σ = 67733881438890. Its totient is φ = 67733881438888.

The previous prime is 67733881438819. The next prime is 67733881438903. The reversal of 67733881438889 is 98883418833776.

67733881438889 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., 51596925610000 + 16136955828889 = 7183100^2 + 4017083^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-67733881438889 is a prime.

It is not a weakly prime, because it can be changed into another prime (67733881438819) 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, 33866940719444 + 33866940719445.

It is an arithmetic number, because the mean of its divisors is an integer number (33866940719445).

Almost surely, 267733881438889 is an apocalyptic number.

It is an amenable number.

67733881438889 is a deficient number, since it is larger than the sum of its proper divisors (1).

67733881438889 is an equidigital number, since it uses as much as digits as its factorization.

67733881438889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9364045824, while the sum is 83.

The spelling of 67733881438889 in words is "sixty-seven trillion, seven hundred thirty-three billion, eight hundred eighty-one million, four hundred thirty-eight thousand, eight hundred eighty-nine".