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80166006882 = 23313312118831
BaseRepresentation
bin100101010101001000…
…1000011000001100010
321122220220111002122000
41022222101003001202
52303134444210012
6100454443424430
75535405546453
oct1125221030142
9248826432560
1080166006882
1130aa8691555
1213653525116
137737649740
143c46c2d12a
152142d60ddc
hex12aa443062

80166006882 has 96 divisors (see below), whose sum is σ = 198240295680. Its totient is φ = 23870570400.

The previous prime is 80166006841. The next prime is 80166006883. The reversal of 80166006882 is 28860066108.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (80166006883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615207 + ... + 734037.

It is an arithmetic number, because the mean of its divisors is an integer number (2065003080).

Almost surely, 280166006882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80166006882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99120147840).

80166006882 is an abundant number, since it is smaller than the sum of its proper divisors (118074288798).

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

80166006882 is a wasteful number, since it uses less digits than its factorization.

80166006882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118917 (or 118880 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 80166006882 in words is "eighty billion, one hundred sixty-six million, six thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 702 806 837 961 1209 1674 1922 2418 2883 3627 5766 7254 8649 10881 12493 17298 21762 24986 25947 37479 51894 74958 112437 118831 224874 237662 337311 356493 674622 712986 1069479 1544803 2138958 3089606 3208437 3683761 4634409 6416874 7367522 9268818 11051283 13903227 22102566 27806454 33153849 41709681 47888893 66307698 83419362 95777786 99461547 114196591 143666679 198923094 228393182 287333358 342589773 431000037 685179546 862000074 1027769319 1293000111 1484555683 2055538638 2586000222 2969111366 3083307957 4453667049 6166615914 8907334098 13361001147 26722002294 40083003441 80166006882