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13329725220 = 22325710939679
BaseRepresentation
bin11000110101000001…
…10111011100100100
31021101222020012102200
430122200313130210
5204244402201340
610042410134500
7651215536440
oct143240673444
937358205380
1013329725220
115720311939
122700121430
1313457a9696
14906479820
15530383330
hex31a837724

13329725220 has 144 divisors (see below), whose sum is σ = 46256770560. Its totient is φ = 3043692288.

The previous prime is 13329725173. The next prime is 13329725231. The reversal of 13329725220 is 2252792331.

It is a happy number.

13329725220 is a `hidden beast` number, since 13 + 32 + 97 + 2 + 522 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372341 + ... + 1382019.

Almost surely, 213329725220 is an apocalyptic number.

13329725220 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 13329725220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23128385280).

13329725220 is an abundant number, since it is smaller than the sum of its proper divisors (32927045340).

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

13329725220 is a wasteful number, since it uses less digits than its factorization.

13329725220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10794 (or 10789 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13329725220 in words is "thirteen billion, three hundred twenty-nine million, seven hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1093 1260 2186 3279 4372 5465 6558 7651 9679 9837 10930 13116 15302 16395 19358 19674 21860 22953 29037 30604 32790 38255 38716 39348 45906 48395 49185 58074 65580 67753 68859 76510 87111 91812 96790 98370 114765 116148 135506 137718 145185 153020 174222 193580 196740 203259 229530 271012 275436 290370 338765 344295 348444 406518 435555 459060 580740 609777 677530 688590 813036 871110 1016295 1219554 1355060 1377180 1742220 2032590 2439108 3048885 4065180 6097770 10579147 12195540 21158294 31737441 42316588 52895735 63474882 74054029 95212323 105791470 126949764 148108058 158687205 190424646 211582940 222162087 296216116 317374410 370270145 380849292 444324174 476061615 634748820 666486261 740540290 888648348 952123230 1110810435 1332972522 1481080580 1904246460 2221620870 2665945044 3332431305 4443241740 6664862610 13329725220