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82735878544421 = 2324129313019273
BaseRepresentation
bin10010110011111101110010…
…101001101001110000100101
3101211221110202122000011122112
4102303331302221221300211
541321021034401410141
6451544200552410405
723266320125053304
oct2263756251516045
9354843678004575
1082735878544421
11243a90a8578023
1293429263a6a05
133721c62aaaa5b
14166061b7c843b
1598723b73d7eb
hex4b3f72a69c25

82735878544421 has 24 divisors (see below), whose sum is σ = 88901383429656. Its totient is φ = 76944939061760.

The previous prime is 82735878544399. The next prime is 82735878544453. The reversal of 82735878544421 is 12444587853728.

It can be written as a sum of positive squares in 4 ways, for example, as 371995087396 + 82363883457025 = 609914^2 + 9075455^2 .

It is not a de Polignac number, because 82735878544421 - 234 = 82718698675237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82735878564421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154760 + ... + 12864513.

It is an arithmetic number, because the mean of its divisors is an integer number (3704224309569).

Almost surely, 282735878544421 is an apocalyptic number.

It is an amenable number.

82735878544421 is a deficient number, since it is larger than the sum of its proper divisors (6165504885235).

82735878544421 is a wasteful number, since it uses less digits than its factorization.

82735878544421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13019653 (or 13019630 counting only the distinct ones).

The product of its digits is 481689600, while the sum is 68.

The spelling of 82735878544421 in words is "eighty-two trillion, seven hundred thirty-five billion, eight hundred seventy-eight million, five hundred forty-four thousand, four hundred twenty-one".

Divisors: 1 23 41 293 529 943 6739 12013 21689 154997 276299 6354877 13019273 299443279 533790193 3814646989 6887195417 12277174439 87736880747 156400526549 282375012097 2017948257181 3597212110627 82735878544421