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13320339328 = 27836311987
BaseRepresentation
bin11000110011111010…
…00011111110000000
31021101022120100102001
430121331003332000
5204240001324303
610041433033344
7651043005352
oct143175037600
937338510361
1013320339328
115715a910aa
1226b8b55854
1313438714ba
149051150d2
1552e62c31d
hex319f43f80

13320339328 has 64 divisors (see below), whose sum is σ = 26912430720. Its totient is φ = 6566192640.

The previous prime is 13320339287. The next prime is 13320339397. The reversal of 13320339328 is 82393302331.

13320339328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 6702751 + ... + 6704737.

It is an arithmetic number, because the mean of its divisors is an integer number (420506730).

Almost surely, 213320339328 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 13320339328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456215360).

13320339328 is an abundant number, since it is smaller than the sum of its proper divisors (13592091392).

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

13320339328 is an equidigital number, since it uses as much as digits as its factorization.

13320339328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 13320339328 in words is "thirteen billion, three hundred twenty million, three hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 631 664 1262 1328 1987 2524 2656 3974 5048 5312 7948 10096 10624 15896 20192 31792 40384 52373 63584 80768 104746 127168 164921 209492 254336 329842 418984 659684 837968 1253797 1319368 1675936 2507594 2638736 3351872 5015188 5277472 6703744 10030376 10554944 20060752 21109888 40121504 80243008 104065151 160486016 208130302 416260604 832521208 1665042416 3330084832 6660169664 13320339328