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10729325417 is a prime number
BaseRepresentation
bin10011111111000010…
…01000001101101001
31000200202010012111212
421333201020031221
5133433201403132
64532354402505
7526611522056
oct117741101551
930622105455
1010729325417
114606473a98
1220b5290435
13101cb26785
1473ad7202d
1542be245b2
hex27f848369

10729325417 has 2 divisors, whose sum is σ = 10729325418. Its totient is φ = 10729325416.

The previous prime is 10729325377. The next prime is 10729325419. The reversal of 10729325417 is 71452392701.

It is a happy number.

10729325417 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., 10723845136 + 5480281 = 103556^2 + 2341^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10729325417 is a prime.

Together with 10729325419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10729325419) 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, 5364662708 + 5364662709.

It is an arithmetic number, because the mean of its divisors is an integer number (5364662709).

Almost surely, 210729325417 is an apocalyptic number.

It is an amenable number.

10729325417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10729325417 is an equidigital number, since it uses as much as digits as its factorization.

10729325417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 10729325417 in words is "ten billion, seven hundred twenty-nine million, three hundred twenty-five thousand, four hundred seventeen".