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41382571455048 = 233231011373540613
BaseRepresentation
bin10010110100011001000010…
…11110001011001001001000
312102112010122120000222201110
421122030201132023021020
520411003001243030143
6224002520232450320
711500535461362255
oct1132144136131110
9172463576028643
1041382571455048
11122052828215aa
1247842775499a0
131a1248a484035
14a30cda13042c
154bb6c7c53533
hex25a32178b248

41382571455048 has 128 divisors (see below), whose sum is σ = 109102998055680. Its totient is φ = 13054266086400.

The previous prime is 41382571455019. The next prime is 41382571455067. The reversal of 41382571455048 is 84055417528314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76277190 + ... + 76817802.

It is an arithmetic number, because the mean of its divisors is an integer number (852367172310).

Almost surely, 241382571455048 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 41382571455048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54551499027840).

41382571455048 is an abundant number, since it is smaller than the sum of its proper divisors (67720426600632).

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

41382571455048 is a wasteful number, since it uses less digits than its factorization.

41382571455048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542119 (or 542115 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 57.

The spelling of 41382571455048 in words is "forty-one trillion, three hundred eighty-two billion, five hundred seventy-one million, four hundred fifty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 101 138 184 202 276 303 404 552 606 808 1212 1373 2323 2424 2746 4119 4646 5492 6969 8238 9292 10984 13938 16476 18584 27876 31579 32952 55752 63158 94737 126316 138673 189474 252632 277346 378948 416019 540613 554692 757896 832038 1081226 1109384 1621839 1664076 2162452 3189479 3243678 3328152 4324904 6378958 6487356 9568437 12434099 12757916 12974712 19136874 24868198 25515832 37302297 38273748 49736396 54601913 74604594 76547496 99472792 109203826 149209188 163805739 218407652 298418376 327611478 436815304 655222956 742261649 1255843999 1310445912 1484523298 2226784947 2511687998 2969046596 3767531997 4453569894 5023375996 5938093192 7535063994 8907139788 10046751992 15070127988 17072017927 17814279576 30140255976 34144035854 51216053781 68288071708 74968426549 102432107562 136576143416 149936853098 204864215124 224905279647 299873706196 409728430248 449810559294 599747412392 899621118588 1724273810627 1799242237176 3448547621254 5172821431881 6897095242508 10345642863762 13794190485016 20691285727524 41382571455048