| Base | Representation |
|---|---|
| bin | 100101100000111010100000… |
| … | …0000001001011010000100000 |
| 3 | 1121021100200202222112022001000 |
| 4 | 1023001311000001023100200 |
| 5 | 321222334212301400324 |
| 6 | 3125450151404112000 |
| 7 | 126335130055612500 |
| oct | 11301650001132040 |
| 9 | 1537320688468030 |
| 10 | 329979116434464 |
| 11 | 961613a2764702 |
| 12 | 310141b6535600 |
| 13 | 11217b880a82a3 |
| 14 | 5b6b10841ba00 |
| 15 | 28237aa0399c9 |
| hex | 12c1d4004b420 |
329979116434464 has 288 divisors, whose sum is σ = 1119601554825600. Its totient is φ = 94277258933760.
The previous prime is 329979116434459. The next prime is 329979116434477. The reversal of 329979116434464 is 464434611979923.
329979116434464 is a `hidden beast` number, since 3 + 2 + 9 + 9 + 7 + 9 + 116 + 43 + 4 + 464 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×3299791164344643 (a number of 45 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 329979116434392 and 329979116434401.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2119643349 + ... + 2119799019.
It is an arithmetic number, because the mean of its divisors is an integer number (3887505398700).
Almost surely, 2329979116434464 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 329979116434464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559800777412800).
329979116434464 is an abundant number, since it is smaller than the sum of its proper divisors (789622438391136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
329979116434464 is a wasteful number, since it uses less digits than its factorization.
329979116434464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 205773 (or 205752 counting only the distinct ones).
The product of its digits is 846526464, while the sum is 72.
The spelling of 329979116434464 in words is "three hundred twenty-nine trillion, nine hundred seventy-nine billion, one hundred sixteen million, four hundred thirty-four thousand, four hundred sixty-four".
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