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68378129 is a prime number
BaseRepresentation
bin1000001001101…
…01111000010001
311202122222011022
410010311320101
5120001100004
610441325225
71460130101
oct404657021
9152588138
1068378129
1135663556
121aa96815
1311221541
14911d201
15600a2be
hex4135e11

68378129 has 2 divisors, whose sum is σ = 68378130. Its totient is φ = 68378128.

The previous prime is 68378117. The next prime is 68378147. The reversal of 68378129 is 92187386.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54051904 + 14326225 = 7352^2 + 3785^2 .

It is a cyclic number.

It is not a de Polignac number, because 68378129 - 216 = 68312593 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 68378129.

It is not a weakly prime, because it can be changed into another prime (68378329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34189064 + 34189065.

It is an arithmetic number, because the mean of its divisors is an integer number (34189065).

Almost surely, 268378129 is an apocalyptic number.

It is an amenable number.

68378129 is a deficient number, since it is larger than the sum of its proper divisors (1).

68378129 is an equidigital number, since it uses as much as digits as its factorization.

68378129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152, while the sum is 44.

The square root of 68378129 is about 8269.1069046179. The cubic root of 68378129 is about 408.9206769449.

The spelling of 68378129 in words is "sixty-eight million, three hundred seventy-eight thousand, one hundred twenty-nine".