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164234632753 is a prime number
BaseRepresentation
bin1001100011110100100…
…1011001111000110001
3120200220210102210002001
42120331021121320301
510142323031222003
6203240502054001
714602613226202
oct2307511317061
9520823383061
10164234632753
1163719194454
12279b5a1a301
1312644680189
147d400a35a9
15441360d61d
hex263d259e31

164234632753 has 2 divisors, whose sum is σ = 164234632754. Its totient is φ = 164234632752.

The previous prime is 164234632673. The next prime is 164234632777. The reversal of 164234632753 is 357236432461.

164234632753 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., 82950912144 + 81283720609 = 288012^2 + 285103^2 .

It is an emirp because it is prime and its reverse (357236432461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164234632753 - 221 = 164232535601 is a prime.

It is not a weakly prime, because it can be changed into another prime (164234632453) 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, 82117316376 + 82117316377.

It is an arithmetic number, because the mean of its divisors is an integer number (82117316377).

Almost surely, 2164234632753 is an apocalyptic number.

It is an amenable number.

164234632753 is a deficient number, since it is larger than the sum of its proper divisors (1).

164234632753 is an equidigital number, since it uses as much as digits as its factorization.

164234632753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2177280, while the sum is 46.

The spelling of 164234632753 in words is "one hundred sixty-four billion, two hundred thirty-four million, six hundred thirty-two thousand, seven hundred fifty-three".