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82441010886 = 231312782910039
BaseRepresentation
bin100110011000111011…
…1011111111011000110
321212210110022021102120
41030301313133323012
52322314344322021
6101512312550410
75645652013263
oct1146167377306
9255713267376
1082441010886
1131a6588a753
1213b893b2406
137a0aa7c460
143dc103226a
1522279462c6
hex1331ddfec6

82441010886 has 64 divisors (see below), whose sum is σ = 179197132800. Its totient is φ = 25133867136.

The previous prime is 82441010881. The next prime is 82441010923. The reversal of 82441010886 is 68801014428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82441010881) 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, 8207055 + ... + 8217093.

It is an arithmetic number, because the mean of its divisors is an integer number (2799955200).

Almost surely, 282441010886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82441010886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89598566400).

82441010886 is an abundant number, since it is smaller than the sum of its proper divisors (96756121914).

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

82441010886 is a wasteful number, since it uses less digits than its factorization.

82441010886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013.

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 82441010886 in words is "eighty-two billion, four hundred forty-one million, ten thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 13 26 39 78 127 254 381 762 829 1651 1658 2487 3302 4953 4974 9906 10039 10777 20078 21554 30117 32331 60234 64662 105283 130507 210566 261014 315849 391521 631698 783042 1274953 1368679 2549906 2737358 3824859 4106037 7649718 8212074 8322331 16574389 16644662 24966993 33148778 49723167 49933986 99446334 108190303 216380606 324570909 649141818 1056936037 2113872074 3170808111 6341616222 13740168481 27480336962 41220505443 82441010886