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164199968197 is a prime number
BaseRepresentation
bin1001100011101100010…
…1001010110111000101
3120200211101012122020121
42120323011022313011
510142240142440242
6203233223101541
714602012462306
oct2307305126705
9520741178217
10164199968197
1163700668461
12279a62a18b1
131263a433cc5
147d3963c7ad
154410562667
hex263b14adc5

164199968197 has 2 divisors, whose sum is σ = 164199968198. Its totient is φ = 164199968196.

The previous prime is 164199968183. The next prime is 164199968213. The reversal of 164199968197 is 791869991461.

164199968197 is digitally balanced in base 2, 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., 164056591521 + 143376676 = 405039^2 + 11974^2 .

It is a cyclic number.

It is not a de Polignac number, because 164199968197 - 219 = 164199443909 is a prime.

It is a super-2 number, since 2×1641999681972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164199968167) 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, 82099984098 + 82099984099.

It is an arithmetic number, because the mean of its divisors is an integer number (82099984099).

Almost surely, 2164199968197 is an apocalyptic number.

It is an amenable number.

164199968197 is a deficient number, since it is larger than the sum of its proper divisors (1).

164199968197 is an equidigital number, since it uses as much as digits as its factorization.

164199968197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52907904, while the sum is 70.

The spelling of 164199968197 in words is "one hundred sixty-four billion, one hundred ninety-nine million, nine hundred sixty-eight thousand, one hundred ninety-seven".