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52585133220 = 223252331409733
BaseRepresentation
bin110000111110010100…
…010111010010100100
312000201202012112201200
4300332110113102210
51330143243230340
640053545522500
73541052154204
oct607624272244
9160652175650
1052585133220
1120334a33994
12a2367a3430
134c60508b59
14278bbc2404
15157b7da330
hexc3e5174a4

52585133220 has 144 divisors (see below), whose sum is σ = 171812938752. Its totient is φ = 12980309760.

The previous prime is 52585133219. The next prime is 52585133291. The reversal of 52585133220 is 2233158525.

52585133220 is a `hidden beast` number, since 5 + 258 + 51 + 332 + 20 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76527 + ... + 333206.

It is an arithmetic number, because the mean of its divisors is an integer number (1193145408).

Almost surely, 252585133220 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 52585133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85906469376).

52585133220 is an abundant number, since it is smaller than the sum of its proper divisors (119227805532).

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

52585133220 is a wasteful number, since it uses less digits than its factorization.

52585133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409802 (or 409797 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 52585133220 in words is "fifty-two billion, five hundred eighty-five million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 180 186 207 230 276 279 310 345 372 414 460 465 558 620 690 713 828 930 1035 1116 1380 1395 1426 1860 2070 2139 2790 2852 3565 4140 4278 5580 6417 7130 8556 10695 12834 14260 21390 25668 32085 42780 64170 128340 409733 819466 1229199 1638932 2048665 2458398 3687597 4097330 4916796 6145995 7375194 8194660 9423859 12291990 12701723 14750388 18437985 18847718 24583980 25403446 28271577 36875970 37695436 38105169 47119295 50806892 56543154 63508615 73751940 76210338 84814731 94238590 113086308 114315507 127017230 141357885 152420676 169629462 188477180 190525845 228631014 254034460 282715770 292139629 339258924 381051690 424073655 457262028 565431540 571577535 584279258 762103380 848147310 876418887 1143155070 1168558516 1460698145 1696294620 1752837774 2286310140 2629256661 2921396290 3505675548 4382094435 5258513322 5842792580 8764188870 10517026644 13146283305 17528377740 26292566610 52585133220