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81682122632 = 23113744356629
BaseRepresentation
bin100110000010010100…
…0100100011110001000
321210211120022202110012
41030010220210132020
52314241110411012
6101305123211052
75621105405135
oct1140450443610
9253746282405
1081682122632
1131706479780
12139b7216a88
137919792156
143d4c32958c
1521d0ee0622
hex1304a24788

81682122632 has 64 divisors (see below), whose sum is σ = 171983044800. Its totient is φ = 36042589440.

The previous prime is 81682122623. The next prime is 81682122637. The reversal of 81682122632 is 23622128618.

It is a self number, because there is not a number n which added to its sum of digits gives 81682122632.

It is not an unprimeable number, because it can be changed into a prime (81682122637) 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 15 ways as a sum of consecutive naturals, for example, 1414094 + ... + 1470722.

It is an arithmetic number, because the mean of its divisors is an integer number (2687235075).

Almost surely, 281682122632 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 81682122632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85991522400).

81682122632 is an abundant number, since it is smaller than the sum of its proper divisors (90300922168).

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

81682122632 is a wasteful number, since it uses less digits than its factorization.

81682122632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57126 (or 57122 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The spelling of 81682122632 in words is "eighty-one billion, six hundred eighty-two million, one hundred twenty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 443 814 886 1628 1772 3256 3544 4873 9746 16391 19492 32782 38984 56629 65564 113258 131128 180301 226516 360602 453032 622919 721204 1245838 1442408 2095273 2491676 4190546 4983352 8381092 16762184 23048003 25086647 46096006 50173294 92192012 100346588 184384024 200693176 275953117 551906234 928205939 1103812468 1856411878 2207624936 3712823756 7425647512 10210265329 20420530658 40841061316 81682122632