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85768981296 = 2434373569243
BaseRepresentation
bin100111111100000111…
…0101100101100110000
322012101101110200120220
41033320032230230300
52401123324400141
6103222434533040
76124302212025
oct1177016545460
9265341420526
1085768981296
1133413399119
1214757a37180
13811b3a5a0b
14421900d54c
15236ebc1766
hex13f83acb30

85768981296 has 80 divisors (see below), whose sum is σ = 229828849536. Its totient is φ = 27542204928.

The previous prime is 85768981279. The next prime is 85768981297. The reversal of 85768981296 is 69218986758.

It is a self number, because there is not a number n which added to its sum of digits gives 85768981296.

It is not an unprimeable number, because it can be changed into a prime (85768981297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133950 + ... + 435293.

Almost surely, 285768981296 is an apocalyptic number.

85768981296 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

85768981296 is an abundant number, since it is smaller than the sum of its proper divisors (144059868240).

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

85768981296 is a wasteful number, since it uses less digits than its factorization.

85768981296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569370 (or 569364 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 69.

The spelling of 85768981296 in words is "eighty-five billion, seven hundred sixty-eight million, nine hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 73 86 129 146 172 219 258 292 344 438 516 584 688 876 1032 1168 1752 2064 3139 3504 6278 9417 12556 18834 25112 37668 50224 75336 150672 569243 1138486 1707729 2276972 3415458 4553944 6830916 9107888 13661832 24477449 27323664 41554739 48954898 73432347 83109478 97909796 124664217 146864694 166218956 195819592 249328434 293729388 332437912 391639184 498656868 587458776 664875824 997313736 1174917552 1786853777 1994627472 3573707554 5360561331 7147415108 10721122662 14294830216 21442245324 28589660432 42884490648 85768981296