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329981639064 = 2337112107211719
BaseRepresentation
bin1001100110101000111…
…00000011100110011000
31011112201222200002122120
410303110130003212120
520401300244422224
6411331431421240
732561152436640
oct4632434034630
91145658602576
10329981639064
11117a4303a500
1253b52224820
132516a46563c
1411d84d6b520
1588b48ac779
hex4cd4703998

329981639064 has 384 divisors, whose sum is σ = 1052410060800. Its totient is φ = 84388550400.

The previous prime is 329981639063. The next prime is 329981639069. The reversal of 329981639064 is 460936189923.

It is a junction number, because it is equal to n+sod(n) for n = 329981638989 and 329981639007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329981639063) 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 95 ways as a sum of consecutive naturals, for example, 458944897 + ... + 458945615.

It is an arithmetic number, because the mean of its divisors is an integer number (2740651200).

Almost surely, 2329981639064 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 329981639064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526205030400).

329981639064 is an abundant number, since it is smaller than the sum of its proper divisors (722428421736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

329981639064 is a wasteful number, since it uses less digits than its factorization.

329981639064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 329981639064 in words is "three hundred twenty-nine billion, nine hundred eighty-one million, six hundred thirty-nine thousand, sixty-four".