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11967878801 is a prime number
BaseRepresentation
bin10110010010101011…
…10101011010010001
31010220001200020100102
423021111311122101
5144002234110201
65255321102145
7602401201634
oct131125653221
933801606312
1011967878801
11509161252a
1223a0027955
1311895c91b8
14817659c1b
154a0a2826b
hex2c9575691

11967878801 has 2 divisors, whose sum is σ = 11967878802. Its totient is φ = 11967878800.

The previous prime is 11967878789. The next prime is 11967878843. The reversal of 11967878801 is 10887876911.

11967878801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8501024401 + 3466854400 = 92201^2 + 58880^2 .

It is a cyclic number.

It is not a de Polignac number, because 11967878801 - 230 = 10894136977 is a prime.

It is not a weakly prime, because it can be changed into another prime (11967878701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5983939400 + 5983939401.

It is an arithmetic number, because the mean of its divisors is an integer number (5983939401).

Almost surely, 211967878801 is an apocalyptic number.

It is an amenable number.

11967878801 is a deficient number, since it is larger than the sum of its proper divisors (1).

11967878801 is an equidigital number, since it uses as much as digits as its factorization.

11967878801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1354752, while the sum is 56.

The spelling of 11967878801 in words is "eleven billion, nine hundred sixty-seven million, eight hundred seventy-eight thousand, eight hundred one".