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83394649338 = 237112131262293
BaseRepresentation
bin100110110101010110…
…1010101110011111010
321222020220202010110020
41031222231111303322
52331243012234323
6102151100431310
76011411552310
oct1155255256372
9258226663406
1083394649338
1132405118400
12141b4848536
137b30506370
1440719520b0
15228151aae3
hex136ab55cfa

83394649338 has 96 divisors (see below), whose sum is σ = 225637577088. Its totient is φ = 19994705280.

The previous prime is 83394649309. The next prime is 83394649357.

83394649338 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565081 + ... + 697212.

It is an arithmetic number, because the mean of its divisors is an integer number (2350391428).

Almost surely, 283394649338 is an apocalyptic number.

83394649338 is an abundant number, since it is smaller than the sum of its proper divisors (142242927750).

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

83394649338 is a wasteful number, since it uses less digits than its factorization.

83394649338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262340 (or 1262329 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 60.

The spelling of 83394649338 in words is "eighty-three billion, three hundred ninety-four million, six hundred forty-nine thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2541 3003 3146 4719 5082 6006 9438 11011 22022 33033 66066 1262293 2524586 3786879 7573758 8836051 13885223 16409809 17672102 26508153 27770446 32819618 41655669 49229427 53016306 83311338 97196561 98458854 114868663 152737453 180507899 194393122 229737326 291589683 305474906 344605989 361015798 458212359 541523697 583179366 689211978 916424718 1069162171 1083047394 1263555293 1985586889 2138324342 2527110586 3207486513 3790665879 3971173778 5956760667 6414973026 7581331758 11913521334 13899108223 27798216446 41697324669 83394649338