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1329680703168 = 263244312594139
BaseRepresentation
bin10011010110010111001…
…001010101111011000000
311201010010201211101200200
4103112113021111323000
5133241141230000133
62454502532045200
7165031504330566
oct23262711257300
94633121741620
101329680703168
11472a07101844
1219584b463800
13985082963ac
14484dd439a36
15248c49cc913
hex13597255ec0

1329680703168 has 168 divisors, whose sum is σ = 3823850721600. Its totient is φ = 441768377856.

The previous prime is 1329680703149. The next prime is 1329680703173. The reversal of 1329680703168 is 8613070869231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321254443 + ... + 321258581.

It is an arithmetic number, because the mean of its divisors is an integer number (22761016200).

Almost surely, 21329680703168 is an apocalyptic number.

1329680703168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329680703168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911925360800).

1329680703168 is an abundant number, since it is smaller than the sum of its proper divisors (2494170018432).

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

1329680703168 is a wasteful number, since it uses less digits than its factorization.

1329680703168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1329680703168 in words is "one trillion, three hundred twenty-nine billion, six hundred eighty million, seven hundred three thousand, one hundred sixty-eight".