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8085126323505 = 35711191991851391
BaseRepresentation
bin111010110100111011100…
…0101010001110100110001
31001121221010100120200200210
41311221313011101310301
52024431314314323010
625110131124334333
71463062652554350
oct165516705216461
931557110520623
108085126323505
112637979038010
12aa6b505443a9
13468568ab6a9a
141dd47219d997
15e04a54deb20
hex75a77151d31

8085126323505 has 128 divisors (see below), whose sum is σ = 17062428672000. Its totient is φ = 3167209900800.

The previous prime is 8085126323489. The next prime is 8085126323509. The reversal of 8085126323505 is 5053236215808.

It is not a de Polignac number, because 8085126323505 - 24 = 8085126323489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8085126323509) 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 127 ways as a sum of consecutive naturals, for example, 3441360 + ... + 5292750.

It is an arithmetic number, because the mean of its divisors is an integer number (133300224000).

Almost surely, 28085126323505 is an apocalyptic number.

It is an amenable number.

8085126323505 is an abundant number, since it is smaller than the sum of its proper divisors (8977302348495).

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

8085126323505 is a wasteful number, since it uses less digits than its factorization.

8085126323505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851635.

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 8085126323505 in words is "eight trillion, eighty-five billion, one hundred twenty-six million, three hundred twenty-three thousand, five hundred five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 199 209 231 285 385 399 597 627 665 995 1045 1155 1393 1463 1995 2189 2985 3135 3781 4179 4389 6567 6965 7315 10945 11343 15323 18905 20895 21945 26467 32835 41591 45969 56715 76615 79401 124773 132335 207955 229845 291137 397005 623865 873411 1455685 1851391 4367055 5554173 9256955 12959737 20365301 27770865 35176429 38879211 61095903 64798685 101826505 105529287 142557107 175882145 194396055 246235003 305479515 368426809 386940719 427671321 527646435 712785535 738705009 1105280427 1160822157 1231175015 1842134045 1934703595 2138356605 2578987663 2708585033 3693525045 4052694899 5526402135 5804110785 7000109371 7736962989 8125755099 12158084697 12894938315 13542925165 20263474495 21000328113 28368864293 35000546855 38684814945 40628775495 49000765597 60790423485 77001203081 85106592879 105001640565 141844321465 147002296791 231003609243 245003827985 385006015405 425532964395 539008421567 735011483955 1155018046215 1617025264701 2695042107835 8085126323505