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41643725352252 = 22329594007506173
BaseRepresentation
bin10010111011111111011110…
…11101001110110100111100
312110110002201211011112100120
421131333233131032310330
520424242322142233002
6224322510251054540
711525442223025622
oct1135775735166474
9173402654145316
1041643725352252
11122a6006347911
1248069bb441450
131a30ca93022aa
14a3d7d2033512
154c33aedaacbc
hex25dfef74ed3c

41643725352252 has 96 divisors (see below), whose sum is σ = 102248767756800. Its totient is φ = 13172101807872.

The previous prime is 41643725352199. The next prime is 41643725352259. The reversal of 41643725352252 is 25225352734614.

It is a super-2 number, since 2×416437253522522 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41643725352195 and 41643725352204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41643725352259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82018638 + ... + 82524810.

It is an arithmetic number, because the mean of its divisors is an integer number (1065091330800).

Almost surely, 241643725352252 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 41643725352252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51124383878400).

41643725352252 is an abundant number, since it is smaller than the sum of its proper divisors (60605042404548).

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

41643725352252 is a wasteful number, since it uses less digits than its factorization.

41643725352252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510275 (or 510273 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 51.

The spelling of 41643725352252 in words is "forty-one trillion, six hundred forty-three billion, seven hundred twenty-five million, three hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 59 87 116 118 174 177 236 348 354 708 1711 3422 4007 5133 6844 8014 10266 12021 16028 20532 24042 48084 116203 232406 236413 348609 464812 472826 506173 697218 709239 945652 1012346 1394436 1418478 1518519 2024692 2836956 3037038 6074076 6855977 13711954 14679017 20567931 27423908 29358034 29864207 41135862 44037051 58716068 59728414 82271724 88074102 89592621 119456828 176148204 179185242 358370484 866062003 1732124006 2028235211 2598186009 3464248012 4056470422 5196372018 6084705633 8112940844 10392744036 12169411266 24338822532 58818821119 117637642238 119665877449 176456463357 235275284476 239331754898 352912926714 358997632347 478663509796 705825853428 717995264694 1435990529388 3470310446021 6940620892042 10410931338063 13881241784084 20821862676126 41643725352252