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82169021466 = 232711317333359
BaseRepresentation
bin100110010000110100…
…1111100010000011010
321212002111111210002100
41030201221330100122
52321240232141331
6101425315144230
75636140105230
oct1144151742032
9255074453070
1082169021466
11319362a8004
1213b122a5076
13799660ac7c
143d96c70950
15220db1bae6
hex1321a7c41a

82169021466 has 96 divisors (see below), whose sum is σ = 206459435520. Its totient is φ = 23133906432.

The previous prime is 82169021453. The next prime is 82169021489. The reversal of 82169021466 is 66412096128.

82169021466 is a `hidden beast` number, since 8 + 2 + 169 + 0 + 21 + 466 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2446495 + ... + 2479853.

It is an arithmetic number, because the mean of its divisors is an integer number (2150619120).

Almost surely, 282169021466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82169021466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103229717760).

82169021466 is an abundant number, since it is smaller than the sum of its proper divisors (124290414054).

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

82169021466 is a wasteful number, since it uses less digits than its factorization.

82169021466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33660 (or 33657 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 82169021466 in words is "eighty-two billion, one hundred sixty-nine million, twenty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 173 226 339 346 519 678 791 1017 1038 1211 1557 1582 2034 2373 2422 3114 3633 4746 7119 7266 10899 14238 19549 21798 33359 39098 58647 66718 100077 117294 136843 175941 200154 233513 273686 300231 351882 410529 467026 600462 700539 821058 1231587 1401078 2101617 2463174 3769567 4203234 5771107 7539134 11308701 11542214 17313321 22617402 26386969 33926103 34626642 40397749 51939963 52773938 67852206 79160907 80795498 103879926 121193247 158321814 237482721 242386494 363579741 474965442 652135091 727159482 1304270182 1956405273 3912810546 4564945637 5869215819 9129891274 11738431638 13694836911 27389673822 41084510733 82169021466