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6401346319 is a prime number
BaseRepresentation
bin1011111011000110…
…01100101100001111
3121112010021002022201
411331203030230033
5101102221040234
62535111022331
7314426355154
oct57543145417
917463232281
106401346319
112795436265
1212a796a9a7
137b028c0b4
1444a24422b
15276eb5314
hex17d8ccb0f

6401346319 has 2 divisors, whose sum is σ = 6401346320. Its totient is φ = 6401346318.

The previous prime is 6401346251. The next prime is 6401346331. The reversal of 6401346319 is 9136431046.

6401346319 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 6401346319 - 225 = 6367791887 is a prime.

It is a super-2 number, since 2×64013463192 = 81954469391549699522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6401346389) 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, 3200673159 + 3200673160.

It is an arithmetic number, because the mean of its divisors is an integer number (3200673160).

Almost surely, 26401346319 is an apocalyptic number.

6401346319 is a deficient number, since it is larger than the sum of its proper divisors (1).

6401346319 is an equidigital number, since it uses as much as digits as its factorization.

6401346319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 6401346319 is about 80008.4140512734. The cubic root of 6401346319 is about 1856.7657130513.

The spelling of 6401346319 in words is "six billion, four hundred one million, three hundred forty-six thousand, three hundred nineteen".