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329692835046089 is a prime number
BaseRepresentation
bin100101011110110101001100…
…0010100010110001011001001
31121020100022211112120221120202
41022331222120110112023021
5321203141411232433324
63125110444132301545
7126305343541143314
oct11275523024261311
91536308745527522
10329692835046089
1196060a45344369
1230b8881b4718b5
13111c6b934a5c68
145b5b30b26597b
15281b101e298ae
hex12bda985162c9

329692835046089 has 2 divisors, whose sum is σ = 329692835046090. Its totient is φ = 329692835046088.

The previous prime is 329692835046049. The next prime is 329692835046097. The reversal of 329692835046089 is 980640538296923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214265423044864 + 115427412001225 = 14637808^2 + 10743715^2 .

It is a cyclic number.

It is not a de Polignac number, because 329692835046089 - 212 = 329692835041993 is a prime.

It is a super-2 number, since 2×3296928350460892 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (329692835046049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164846417523044 + 164846417523045.

It is an arithmetic number, because the mean of its divisors is an integer number (164846417523045).

Almost surely, 2329692835046089 is an apocalyptic number.

It is an amenable number.

329692835046089 is a deficient number, since it is larger than the sum of its proper divisors (1).

329692835046089 is an equidigital number, since it uses as much as digits as its factorization.

329692835046089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1209323520, while the sum is 74.

The spelling of 329692835046089 in words is "three hundred twenty-nine trillion, six hundred ninety-two billion, eight hundred thirty-five million, forty-six thousand, eighty-nine".