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164367838127 is a prime number
BaseRepresentation
bin1001100100010100010…
…1100010101110101111
3120201021002002022111102
42121011011202232233
510143111131310002
6203302021113315
714606121400103
oct2310505425657
9521232068442
10164367838127
11637873a5639
1227a3255883b
131266614b91c
147d53a59903
154420171a02
hex2645162baf

164367838127 has 2 divisors, whose sum is σ = 164367838128. Its totient is φ = 164367838126.

The previous prime is 164367838031. The next prime is 164367838189. The reversal of 164367838127 is 721838763461.

It is a happy number.

164367838127 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 not a de Polignac number, because 164367838127 - 234 = 147187968943 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164367838627) 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, 82183919063 + 82183919064.

It is an arithmetic number, because the mean of its divisors is an integer number (82183919064).

Almost surely, 2164367838127 is an apocalyptic number.

164367838127 is a deficient number, since it is larger than the sum of its proper divisors (1).

164367838127 is an equidigital number, since it uses as much as digits as its factorization.

164367838127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8128512, while the sum is 56.

The spelling of 164367838127 in words is "one hundred sixty-four billion, three hundred sixty-seven million, eight hundred thirty-eight thousand, one hundred twenty-seven".