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6442375016113 is a prime number
BaseRepresentation
bin101110110111111101101…
…1110010110111010110001
3211210212220012011210000021
41131233323132112322301
51321022441001003423
621411330342523441
71233306026052211
oct135577336267261
924725805153007
106442375016113
112064217820623
128806aa436581
13379689acc56a
14183b53b58241
15b28aab0695d
hex5dbfb796eb1

6442375016113 has 2 divisors, whose sum is σ = 6442375016114. Its totient is φ = 6442375016112.

The previous prime is 6442375016107. The next prime is 6442375016171. The reversal of 6442375016113 is 3116105732446.

It is a happy number.

6442375016113 is digitally balanced in base 3, 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., 3249391996449 + 3192983019664 = 1802607^2 + 1786892^2 .

It is a cyclic number.

It is not a de Polignac number, because 6442375016113 - 229 = 6441838145201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6442375016113.

It is not a weakly prime, because it can be changed into another prime (6442375016813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3221187508056 + 3221187508057.

It is an arithmetic number, because the mean of its divisors is an integer number (3221187508057).

Almost surely, 26442375016113 is an apocalyptic number.

It is an amenable number.

6442375016113 is a deficient number, since it is larger than the sum of its proper divisors (1).

6442375016113 is an equidigital number, since it uses as much as digits as its factorization.

6442375016113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 6442375016113 in words is "six trillion, four hundred forty-two billion, three hundred seventy-five million, sixteen thousand, one hundred thirteen".