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829321440007 is a prime number
BaseRepresentation
bin11000001000101110110…
…10001110101100000111
32221021121211121020001011
430010113122032230013
5102041422242040012
61432552432343051
7113626233633604
oct14042732165407
92837554536034
10829321440007
1129a793372645
1211488a0a4a87
136028789b088
142c1d46176ab
151688c5811a7
hexc11768eb07

829321440007 has 2 divisors, whose sum is σ = 829321440008. Its totient is φ = 829321440006.

The previous prime is 829321439939. The next prime is 829321440011. The reversal of 829321440007 is 700044123928.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 829321440007 - 231 = 827173956359 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829321443007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414660720003 + 414660720004.

It is an arithmetic number, because the mean of its divisors is an integer number (414660720004).

Almost surely, 2829321440007 is an apocalyptic number.

829321440007 is a deficient number, since it is larger than the sum of its proper divisors (1).

829321440007 is an equidigital number, since it uses as much as digits as its factorization.

829321440007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 829321440007 in words is "eight hundred twenty-nine billion, three hundred twenty-one million, four hundred forty thousand, seven".