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13323321960 = 23351333725343
BaseRepresentation
bin11000110100010000…
…11100001001101000
31021101112011212210220
430122020130021220
5204241232300320
610042021010040
7651110240154
oct143210341150
937345155726
1013323321960
115717738a93
1226b9b53920
131344376c80
14905690064
1552ea1ae40
hex31a21c268

13323321960 has 128 divisors (see below), whose sum is σ = 43174010880. Its totient is φ = 3269726208.

The previous prime is 13323321959. The next prime is 13323322069. The reversal of 13323321960 is 6912332331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513049 + ... + 538391.

It is an arithmetic number, because the mean of its divisors is an integer number (337296960).

Almost surely, 213323321960 is an apocalyptic number.

13323321960 is a gapful number since it is divisible by the number (10) 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 13323321960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587005440).

13323321960 is an abundant number, since it is smaller than the sum of its proper divisors (29850688920).

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

13323321960 is a wasteful number, since it uses less digits than its factorization.

13323321960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25707 (or 25703 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The spelling of 13323321960 in words is "thirteen billion, three hundred twenty-three million, three hundred twenty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 337 390 520 674 780 1011 1348 1560 1685 2022 2696 3370 4044 4381 5055 6740 8088 8762 10110 13143 13480 17524 20220 21905 25343 26286 35048 40440 43810 50686 52572 65715 76029 87620 101372 105144 126715 131430 152058 175240 202744 253430 262860 304116 329459 380145 506860 525720 608232 658918 760290 988377 1013720 1317836 1520580 1647295 1976754 2635672 3041160 3294590 3953508 4941885 6589180 7907016 8540591 9883770 13178360 17081182 19767540 25621773 34162364 39535080 42702955 51243546 68324728 85405910 102487092 111027683 128108865 170811820 204974184 222055366 256217730 333083049 341623640 444110732 512435460 555138415 666166098 888221464 1024870920 1110276830 1332332196 1665415245 2220553660 2664664392 3330830490 4441107320 6661660980 13323321960