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330049408920289 is a prime number
BaseRepresentation
bin100101100001011011001110…
…1110001101110101011100001
31121021121102012210020120000221
41023002312131301232223201
5321230012142140422124
63125542334424043041
7126343166014104502
oct11302663561565341
91537542183216027
10330049408920289
1196189193a686a3
1231025953303481
13112216aacbc476
145b70695c0cba9
152825521172ce4
hex12c2d9dc6eae1

330049408920289 has 2 divisors, whose sum is σ = 330049408920290. Its totient is φ = 330049408920288.

The previous prime is 330049408920247. The next prime is 330049408920409. The reversal of 330049408920289 is 982029804940033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 322158882976225 + 7890525944064 = 17948785^2 + 2809008^2 .

It is a cyclic number.

It is not a de Polignac number, because 330049408920289 - 227 = 330049274702561 is a prime.

It is a super-2 number, since 2×3300494089202892 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (330049408920689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165024704460144 + 165024704460145.

It is an arithmetic number, because the mean of its divisors is an integer number (165024704460145).

Almost surely, 2330049408920289 is an apocalyptic number.

It is an amenable number.

330049408920289 is a deficient number, since it is larger than the sum of its proper divisors (1).

330049408920289 is an equidigital number, since it uses as much as digits as its factorization.

330049408920289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 330049408920289 in words is "three hundred thirty trillion, forty-nine billion, four hundred eight million, nine hundred twenty thousand, two hundred eighty-nine".