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82390813443 = 33239120110631
BaseRepresentation
bin100110010111011100…
…0000000101100000011
321212122221211222111000
41030232320000230003
52322214022012233
6101503321023043
75644502234121
oct1145670005403
9255587758430
1082390813443
1131a3a514664
1213b74624a83
137a00555223
143db84c6911
15222332cd13
hex132ee00b03

82390813443 has 32 divisors (see below), whose sum is σ = 122684774400. Its totient is φ = 54646704000.

The previous prime is 82390813441. The next prime is 82390813451. The reversal of 82390813443 is 34431809328.

It is a Cunningham number, because it is equal to 2870382-1.

It is not a de Polignac number, because 82390813443 - 21 = 82390813441 is a prime.

It is a super-2 number, since 2×823908134432 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82390813441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7744738 + ... + 7755368.

It is an arithmetic number, because the mean of its divisors is an integer number (3833899200).

Almost surely, 282390813443 is an apocalyptic number.

82390813443 is a deficient number, since it is larger than the sum of its proper divisors (40293960957).

82390813443 is a wasteful number, since it uses less digits than its factorization.

82390813443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12080 (or 12074 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 82390813443 in words is "eighty-two billion, three hundred ninety million, eight hundred thirteen thousand, four hundred forty-three".

Divisors: 1 3 9 27 239 717 1201 2151 3603 6453 10631 10809 31893 32427 95679 287037 287039 861117 2540809 2583351 7622427 7750053 12767831 22867281 38303493 68601843 114910479 344731437 3051511609 9154534827 27463604481 82390813443