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329679227329 = 71280872
BaseRepresentation
bin1001100110000100110…
…10011100100111000001
31011111221220121222201221
410303002122130213001
520400140340233304
6411241425555041
732550521124034
oct4630232344701
91144856558657
10329679227329
111178a8369051
1253a88aa5a81
132511c901b9a
1411d56b2b01b
158898074054
hex4cc269c9c1

329679227329 has 9 divisors (see below), whose sum is σ = 334429350241. Its totient is φ = 324995665540.

The previous prime is 329679227243. The next prime is 329679227363. The reversal of 329679227329 is 923722976923.

The square root of 329679227329 is 574177.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 329679227329 - 29 = 329679226817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329679227429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40762524 + ... + 40770610.

Almost surely, 2329679227329 is an apocalyptic number.

329679227329 is the 574177-th square number.

329679227329 is the 287089-th centered octagonal number.

It is an amenable number.

329679227329 is a deficient number, since it is larger than the sum of its proper divisors (4750122912).

329679227329 is an frugal number, since it uses more digits than its factorization.

329679227329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16316 (or 8158 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 61.

The spelling of 329679227329 in words is "three hundred twenty-nine billion, six hundred seventy-nine million, two hundred twenty-seven thousand, three hundred twenty-nine".

Divisors: 1 71 5041 8087 574177 40766567 65399569 4643369399 329679227329