Search a number
-
+
81589432232 = 237114116319819
BaseRepresentation
bin100101111111100011…
…0111110111110101000
321210121002220121010102
41023333012332332220
52314043343312412
6101252012404532
75615601505550
oct1137706767650
9253532817112
1081589432232
1131669120040
1213990176748
13790350a769
143d3dcbc160
1521c7cd18c2
hex12ff1befa8

81589432232 has 128 divisors (see below), whose sum is σ = 196589030400. Its totient is φ = 30820953600.

The previous prime is 81589432163. The next prime is 81589432241. The reversal of 81589432232 is 23223498518.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4106819 + ... + 4126637.

It is an arithmetic number, because the mean of its divisors is an integer number (1535851800).

Almost surely, 281589432232 is an apocalyptic number.

81589432232 is a gapful number since it is divisible by the number (82) 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 81589432232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98294515200).

81589432232 is an abundant number, since it is smaller than the sum of its proper divisors (114999598168).

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

81589432232 is a wasteful number, since it uses less digits than its factorization.

81589432232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20047 (or 20043 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The spelling of 81589432232 in words is "eighty-one billion, five hundred eighty-nine million, four hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 56 77 82 88 154 163 164 287 308 326 328 451 574 616 652 902 1141 1148 1304 1793 1804 2282 2296 3157 3586 3608 4564 6314 6683 7172 9128 12551 12628 13366 14344 19819 25102 25256 26732 39638 46781 50204 53464 73513 79276 93562 100408 138733 147026 158552 187124 218009 277466 294052 374248 436018 514591 554932 588104 812579 872036 1029182 1109864 1526063 1625158 1744072 2058364 3052126 3230497 3250316 4116728 5688053 6104252 6460994 6500632 8938369 11376106 12208504 12921988 17876738 22613479 22752212 25843976 35535467 35753476 45226958 45504424 62568583 71070934 71506952 90453916 125137166 132450377 142141868 180907832 248748269 250274332 264900754 284283736 497496538 500548664 529801508 927152639 994993076 1059603016 1456954147 1854305278 1989986152 2913908294 3708610556 5827816588 7417221112 10198679029 11655633176 20397358058 40794716116 81589432232