Search a number
-
+
13163643220 = 2257213279481
BaseRepresentation
bin11000100001001110…
…10100000101010100
31020222101201100202111
430100213110011110
5203424343040340
610014114320404
7644131056400
oct142047240524
936871640674
1013163643220
115645595a92
122674589104
13131a269800
148cc3a6100
155209c8aea
hex3109d4154

13163643220 has 108 divisors (see below), whose sum is σ = 34821223164. Its totient is φ = 4166023680.

The previous prime is 13163643203. The next prime is 13163643271. The reversal of 13163643220 is 2234636131.

It can be written as a sum of positive squares in 6 ways, for example, as 2655753156 + 10507890064 = 51534^2 + 102508^2 .

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 125880 + ... + 205360.

It is an arithmetic number, because the mean of its divisors is an integer number (322418733).

Almost surely, 213163643220 is an apocalyptic number.

13163643220 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 13163643220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410611582).

13163643220 is an abundant number, since it is smaller than the sum of its proper divisors (21657579944).

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

13163643220 is a wasteful number, since it uses less digits than its factorization.

13163643220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79530 (or 79508 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 13163643220 in words is "thirteen billion, one hundred sixty-three million, six hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 169 182 196 245 260 338 364 455 490 637 676 845 910 980 1183 1274 1690 1820 2366 2548 3185 3380 4732 5915 6370 8281 11830 12740 16562 23660 33124 41405 79481 82810 158962 165620 317924 397405 556367 794810 1033253 1112734 1589620 2066506 2225468 2781835 3894569 4133012 5166265 5563670 7232771 7789138 10332530 11127340 13432289 14465542 15578276 19472845 20665060 26864578 28931084 36163855 38945690 50629397 53729156 67161445 72327710 77891380 94026023 101258794 134322890 144655420 188052046 202517588 253146985 268645780 376104092 470130115 506293970 658182161 940260230 1012587940 1316364322 1880520460 2632728644 3290910805 6581821610 13163643220