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83314343376207 = 38192923046137
BaseRepresentation
bin10010111100011000100001…
…110101110111010101001111
3101220222202212211122100000000
4102330120201311313111033
541410010233401014312
6453110025253335343
723356156045024326
oct2274304165672517
9356882784570000
1083314343376207
1124601461920a39
129416a65037553
13376467cca6b78
14168061592b0bd
159972e5b9aadc
hex4bc621d7754f

83314343376207 has 72 divisors (see below), whose sum is σ = 136078226434800. Its totient is φ = 50805114627456.

The previous prime is 83314343376151. The next prime is 83314343376259. The reversal of 83314343376207 is 70267334341338.

It is a happy number.

83314343376207 is a `hidden beast` number, since 8 + 3 + 3 + 1 + 4 + 3 + 4 + 3 + 3 + 7 + 620 + 7 = 666.

It is not a de Polignac number, because 83314343376207 - 210 = 83314343375183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83314343376287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7907958 + ... + 15138179.

It is an arithmetic number, because the mean of its divisors is an integer number (1889975367150).

Almost surely, 283314343376207 is an apocalyptic number.

83314343376207 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

83314343376207 is a deficient number, since it is larger than the sum of its proper divisors (52763883058593).

83314343376207 is an equidigital number, since it uses as much as digits as its factorization.

83314343376207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23046209 (or 23046188 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 83314343376207 in words is "eighty-three trillion, three hundred fourteen billion, three hundred forty-three million, three hundred seventy-six thousand, two hundred seven".

Divisors: 1 3 9 19 27 29 57 81 87 171 243 261 513 551 729 783 1539 1653 2187 2349 4617 4959 6561 7047 13851 14877 21141 41553 44631 63423 124659 133893 190269 401679 1205037 3615111 23046137 69138411 207415233 437876603 622245699 668337973 1313629809 1866737097 2005013919 3940889427 5600211291 6015041757 11822668281 12698421487 16800633873 18045125271 35468004843 38095264461 50401901619 54135375813 106404014529 114285793383 151205704857 162406127439 319212043587 342857380149 487218382317 957636130761 1028572140447 1461655146951 2872908392283 3085716421341 4384965440853 9257149264023 27771447792069 83314343376207