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164916341089 is a prime number
BaseRepresentation
bin1001100110010111000…
…1111010100101100001
3120202200022012011002221
42121211301322211201
510200222040403324
6203432253311041
714625531525103
oct2314561724541
9522608164087
10164916341089
1163a38a7aa75
1227b66195481
13127229868a6
147da6839573
1544533bb0e4
hex2665c7a961

164916341089 has 2 divisors, whose sum is σ = 164916341090. Its totient is φ = 164916341088.

The previous prime is 164916341017. The next prime is 164916341137. The reversal of 164916341089 is 980143619461.

164916341089 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., 140445057600 + 24471283489 = 374760^2 + 156433^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164916341089 is a prime.

It is not a weakly prime, because it can be changed into another prime (164916341389) 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, 82458170544 + 82458170545.

It is an arithmetic number, because the mean of its divisors is an integer number (82458170545).

Almost surely, 2164916341089 is an apocalyptic number.

It is an amenable number.

164916341089 is a deficient number, since it is larger than the sum of its proper divisors (1).

164916341089 is an equidigital number, since it uses as much as digits as its factorization.

164916341089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 164916341089 in words is "one hundred sixty-four billion, nine hundred sixteen million, three hundred forty-one thousand, eighty-nine".