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82468342240 = 2551015103239
BaseRepresentation
bin100110011001101111…
…1110000100111100000
321212212100201211222221
41030303133300213200
52322343343422430
6101515130440424
75646433225444
oct1146337604740
9255770654887
1082468342240
1131a7a258149
1213b96593114
137a1362b85b
143dc4908824
15222a04457a
hex13337f09e0

82468342240 has 48 divisors (see below), whose sum is σ = 196760521440. Its totient is φ = 32660723200.

The previous prime is 82468342223. The next prime is 82468342241. The reversal of 82468342240 is 4224386428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82468342241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2535460 + ... + 2567779.

It is an arithmetic number, because the mean of its divisors is an integer number (4099177530).

Almost surely, 282468342240 is an apocalyptic number.

82468342240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82468342240 is an abundant number, since it is smaller than the sum of its proper divisors (114292179200).

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

82468342240 is a wasteful number, since it uses less digits than its factorization.

82468342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103355 (or 5103347 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 43.

The spelling of 82468342240 in words is "eighty-two billion, four hundred sixty-eight million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 16160 5103239 10206478 20412956 25516195 40825912 51032390 81651824 102064780 163303648 204129560 408259120 515427139 816518240 1030854278 2061708556 2577135695 4123417112 5154271390 8246834224 10308542780 16493668448 20617085560 41234171120 82468342240