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8020793197521 = 341314951121393
BaseRepresentation
bin111010010110111110010…
…0001111000001111010001
31001101210001212110021120000
41310231330201320033101
52022403041024310041
625020411310240213
71455324506165316
oct164557441701721
931353055407500
108020793197521
1126126657272a5
12a965974b6069
1346248570c630
141da2cc03cd0d
15dd98c662bb6
hex74b7c8783d1

8020793197521 has 40 divisors (see below), whose sum is σ = 12989946215400. Its totient is φ = 4902745978368.

The previous prime is 8020793197519. The next prime is 8020793197567. The reversal of 8020793197521 is 1257913970208.

It is a happy number.

8020793197521 is a `hidden beast` number, since 8 + 0 + 20 + 7 + 9 + 3 + 1 + 97 + 521 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 870041217600 + 7150751979921 = 932760^2 + 2674089^2 .

It is not a de Polignac number, because 8020793197521 - 21 = 8020793197519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8020793197511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25403800 + ... + 25717593.

It is an arithmetic number, because the mean of its divisors is an integer number (324748655385).

Almost surely, 28020793197521 is an apocalyptic number.

8020793197521 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8020793197521 is a deficient number, since it is larger than the sum of its proper divisors (4969153017879).

8020793197521 is a wasteful number, since it uses less digits than its factorization.

8020793197521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51121567 (or 51121558 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 8020793197521 in words is "eight trillion, twenty billion, seven hundred ninety-three million, one hundred ninety-seven thousand, five hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 149 351 447 1053 1341 1937 4023 5811 12069 17433 52299 156897 51121393 153364179 460092537 664578109 1380277611 1993734327 4140832833 5981202981 7617087557 17943608943 22851262671 53830826829 68553788013 99022138241 205661364039 297066414723 616984092117 891199244169 2673597732507 8020793197521