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329449085137 = 9715492192629
BaseRepresentation
bin1001100101101001011…
…00100001100011010001
31011111100212120120000001
410302310230201203101
520344202431211022
6411202525130001
732542025006404
oct4626454414321
91144325516001
10329449085137
1111779a468897
1253a239b9901
13250b4022c83
1411d3433dd3b
158882c63b27
hex4cb4b218d1

329449085137 has 8 divisors (see below), whose sum is σ = 333060497000. Its totient is φ = 325842061824.

The previous prime is 329449085131. The next prime is 329449085153. The reversal of 329449085137 is 731580944923.

It can be written as a sum of positive squares in 4 ways, for example, as 8820215056 + 320628870081 = 93916^2 + 566241^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-329449085137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329449085131) 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 7 ways as a sum of consecutive naturals, for example, 946062 + ... + 1246567.

It is an arithmetic number, because the mean of its divisors is an integer number (41632562125).

Almost surely, 2329449085137 is an apocalyptic number.

It is an amenable number.

329449085137 is a deficient number, since it is larger than the sum of its proper divisors (3611411863).

329449085137 is a wasteful number, since it uses less digits than its factorization.

329449085137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194275.

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 329449085137 in words is "three hundred twenty-nine billion, four hundred forty-nine million, eighty-five thousand, one hundred thirty-seven".

Divisors: 1 97 1549 150253 2192629 212685013 3396382321 329449085137