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8066809885368 = 2331322801710053
BaseRepresentation
bin111010101100011001101…
…0101100111001010111000
31001120011211211222020011010
41311120303111213022320
52024131311312312433
625053501415433520
71461544032450153
oct165306325471270
931504754866133
108066809885368
112630129973a33
12aa349a3858a0
1346690a151600
141dc615720c9a
15dec8247be63
hex756335672b8

8066809885368 has 96 divisors (see below), whose sum is σ = 21845492961840. Its totient is φ = 2481205708800.

The previous prime is 8066809885361. The next prime is 8066809885439. The reversal of 8066809885368 is 8635889086608.

It is a Cunningham number, because it is equal to 28402132-1.

It is a self number, because there is not a number n which added to its sum of digits gives 8066809885368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8066809885361) 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 23 ways as a sum of consecutive naturals, for example, 11005830 + ... + 11715882.

Almost surely, 28066809885368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8066809885368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10922746480920).

8066809885368 is an abundant number, since it is smaller than the sum of its proper divisors (13778683076472).

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

8066809885368 is a wasteful number, since it uses less digits than its factorization.

8066809885368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712889 (or 712872 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 75.

The spelling of 8066809885368 in words is "eight trillion, sixty-six billion, eight hundred nine million, eight hundred eighty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2801 4056 5602 8403 11204 16806 22408 33612 36413 67224 72826 109239 145652 218478 291304 436956 473369 710053 873912 946738 1420106 1420107 1893476 2130159 2840212 2840214 3786952 4260318 5680424 5680428 8520636 9230689 11360856 17041272 18461378 27692067 36922756 55384134 73845512 110768268 119998957 221536536 239997914 359996871 479995828 719993742 959991656 1439987484 1988858453 2879974968 3977716906 5966575359 7955433812 11933150718 15910867624 23866301436 25855159889 47732602872 51710319778 77565479667 103420639556 155130959334 206841279112 310261918668 336117078557 620523837336 672234157114 1008351235671 1344468314228 2016702471342 2688936628456 4033404942684 8066809885368