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330413204140609 is a prime number
BaseRepresentation
bin100101100100000100101000…
…1101010010111001001000001
31121022220012020022010120001211
41023020021101222113021001
5321301442220224444414
63130421421442130121
7126411365134336132
oct11310112152271101
91538805208116054
10330413204140609
11963094a8979177
1231084361650941
1311249aa692ac45
145b8412788dc89
15282ec143593c4
hex12c8251a97241

330413204140609 has 2 divisors, whose sum is σ = 330413204140610. Its totient is φ = 330413204140608.

The previous prime is 330413204140603. The next prime is 330413204140633. The reversal of 330413204140609 is 906041402314033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177070181059984 + 153343023080625 = 13306772^2 + 12383175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330413204140609 is a prime.

It is not a weakly prime, because it can be changed into another prime (330413204140603) 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, 165206602070304 + 165206602070305.

It is an arithmetic number, because the mean of its divisors is an integer number (165206602070305).

Almost surely, 2330413204140609 is an apocalyptic number.

It is an amenable number.

330413204140609 is a deficient number, since it is larger than the sum of its proper divisors (1).

330413204140609 is an equidigital number, since it uses as much as digits as its factorization.

330413204140609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 330413204140609 in words is "three hundred thirty trillion, four hundred thirteen billion, two hundred four million, one hundred forty thousand, six hundred nine".