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164406504653119 is a prime number
BaseRepresentation
bin100101011000011011011111…
…010011110000000100111111
3210120010002220222121201210101
4211120123133103300010333
5133022114010142344434
61341355150000421531
746425656306630311
oct4530333723600477
9716102828551711
10164406504653119
1148426452898423
12165330b99178a7
13709760b91ac61
142c854628a37b1
1514018ccce5b14
hex9586df4f013f

164406504653119 has 2 divisors, whose sum is σ = 164406504653120. Its totient is φ = 164406504653118.

The previous prime is 164406504653089. The next prime is 164406504653173. The reversal of 164406504653119 is 911356405604461.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 164406504653119 - 211 = 164406504651071 is a prime.

It is a super-3 number, since 3×1644065046531193 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 164406504653119.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164406504653719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82203252326559 + 82203252326560.

It is an arithmetic number, because the mean of its divisors is an integer number (82203252326560).

Almost surely, 2164406504653119 is an apocalyptic number.

164406504653119 is a deficient number, since it is larger than the sum of its proper divisors (1).

164406504653119 is an equidigital number, since it uses as much as digits as its factorization.

164406504653119 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 164406504653119 in words is "one hundred sixty-four trillion, four hundred six billion, five hundred four million, six hundred fifty-three thousand, one hundred nineteen".