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81261128174568 = 233191076172699287
BaseRepresentation
bin10010011110100000010100…
…101011011100101111101000
3101122201111011202000010220220
4102132200110223130233220
541122340242303041233
6444454502534050040
723054631336540636
oct2236402453345750
9348644152003826
1081261128174568
112398a718421571
129144b4b4a9920
133645b78840c04
14160d0b9726356
1595dbc5e25eb3
hex49e814adcbe8

81261128174568 has 128 divisors (see below), whose sum is σ = 216193533926400. Its totient is φ = 25380371326464.

The previous prime is 81261128174563. The next prime is 81261128174609. The reversal of 81261128174568 is 86547182116218.

It is not an unprimeable number, because it can be changed into a prime (81261128174563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28755021 + ... + 31454307.

It is an arithmetic number, because the mean of its divisors is an integer number (1689011983800).

Almost surely, 281261128174568 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 81261128174568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108096766963200).

81261128174568 is an abundant number, since it is smaller than the sum of its proper divisors (134932405751832).

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

81261128174568 is a wasteful number, since it uses less digits than its factorization.

81261128174568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700039 (or 2700035 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 60.

The spelling of 81261128174568 in words is "eighty-one trillion, two hundred sixty-one billion, one hundred twenty-eight million, one hundred seventy-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 107 114 152 214 228 321 428 456 617 642 856 1234 1284 1851 2033 2468 2568 3702 4066 4936 6099 7404 8132 11723 12198 14808 16264 23446 24396 35169 46892 48792 66019 70338 93784 132038 140676 198057 264076 281352 396114 528152 792228 1254361 1584456 2508722 2699287 3763083 5017444 5398574 7526166 8097861 10034888 10797148 15052332 16195722 21594296 30104664 32391444 51286453 64782888 102572906 153859359 205145812 288823709 307718718 410291624 577647418 615437436 866471127 1155294836 1230874872 1665460079 1732942254 2310589672 3330920158 3465884508 4996380237 5487650471 6661840316 6931769016 9992760474 10975300942 13323680632 16462951413 19985520948 21950601884 31643741501 32925902826 39971041896 43901203768 63287483002 65851805652 94931224503 126574966004 131703611304 178204228453 189862449006 253149932008 356408456906 379724898012 534612685359 712816913812 759449796024 1069225370718 1425633827624 2138450741436 3385880340607 4276901482872 6771760681214 10157641021821 13543521362428 20315282043642 27087042724856 40630564087284 81261128174568