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164225970971 is a prime number
BaseRepresentation
bin1001100011110010100…
…0010111001100011011
3120200220012010201100022
42120330220113030123
510142313322032341
6203235552301055
714602446502166
oct2307450271433
9520805121308
10164225970971
1163714308757
12279b2b4178b
131264293976a
147d3cc8aadd
15441299be4b
hex263ca1731b

164225970971 has 2 divisors, whose sum is σ = 164225970972. Its totient is φ = 164225970970.

The previous prime is 164225970949. The next prime is 164225970973. The reversal of 164225970971 is 179079522461.

164225970971 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164225970971 is a prime.

Together with 164225970973, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164225970973) 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, 82112985485 + 82112985486.

It is an arithmetic number, because the mean of its divisors is an integer number (82112985486).

Almost surely, 2164225970971 is an apocalyptic number.

164225970971 is a deficient number, since it is larger than the sum of its proper divisors (1).

164225970971 is an equidigital number, since it uses as much as digits as its factorization.

164225970971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 164225970971 in words is "one hundred sixty-four billion, two hundred twenty-five million, nine hundred seventy thousand, nine hundred seventy-one".