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13329696360 = 23352513111423
BaseRepresentation
bin11000110101000001…
…10000011001101000
31021101222011201211210
430122200300121220
5204244400240420
610042405353120
7651215356341
oct143240603150
937358151753
1013329696360
1157202a2192
1227001087a0
1313457994c6
1490646d0c8
155303799e0
hex31a830668

13329696360 has 128 divisors (see below), whose sum is σ = 40305807360. Its totient is φ = 3526560000.

The previous prime is 13329696343. The next prime is 13329696371. The reversal of 13329696360 is 6369692331.

It is a happy number.

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, 9366609 + ... + 9368031.

It is an arithmetic number, because the mean of its divisors is an integer number (314889120).

Almost surely, 213329696360 is an apocalyptic number.

13329696360 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 13329696360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20152903680).

13329696360 is an abundant number, since it is smaller than the sum of its proper divisors (26976111000).

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

13329696360 is a wasteful number, since it uses less digits than its factorization.

13329696360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 48.

The spelling of 13329696360 in words is "thirteen billion, three hundred twenty-nine million, six hundred ninety-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 311 502 622 753 933 1004 1244 1255 1423 1506 1555 1866 2008 2488 2510 2846 3012 3110 3732 3765 4269 4665 5020 5692 6024 6220 7115 7464 7530 8538 9330 10040 11384 12440 14230 15060 17076 18660 21345 28460 30120 34152 37320 42690 56920 78061 85380 156122 170760 234183 312244 357173 390305 442553 468366 624488 714346 780610 885106 936732 1071519 1170915 1327659 1428692 1561220 1770212 1785865 1873464 2143038 2212765 2341830 2655318 2857384 3122440 3540424 3571730 4286076 4425530 4683660 5310636 5357595 6638295 7143460 8572152 8851060 9367320 10621272 10715190 13276590 14286920 17702120 21430380 26553180 42860760 53106360 111080803 222161606 333242409 444323212 555404015 666484818 888646424 1110808030 1332969636 1666212045 2221616060 2665939272 3332424090 4443232120 6664848180 13329696360