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85350822795 = 33571710351581
BaseRepresentation
bin100111101111101001…
…1100011001110001011
322011022020122000222000
41033133103203032023
52344244302312140
6103113140202043
76111034011030
oct1173723431613
9264266560860
1085350822795
1133219350487
121465b999323
138082877254
1441b967d387
152348122a30
hex13df4e338b

85350822795 has 128 divisors (see below), whose sum is σ = 185398087680. Its totient is φ = 36365137920.

The previous prime is 85350822779. The next prime is 85350822803. The reversal of 85350822795 is 59722805358.

85350822795 is a `hidden beast` number, since 8 + 535 + 0 + 82 + 27 + 9 + 5 = 666.

It is not a de Polignac number, because 85350822795 - 24 = 85350822779 is a prime.

It is a super-2 number, since 2×853508227952 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1628905 + ... + 1680485.

It is an arithmetic number, because the mean of its divisors is an integer number (1448422560).

Almost surely, 285350822795 is an apocalyptic number.

85350822795 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85350822795 is an abundant number, since it is smaller than the sum of its proper divisors (100047264885).

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

85350822795 is a wasteful number, since it uses less digits than its factorization.

85350822795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51722 (or 51716 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 85350822795 in words is "eighty-five billion, three hundred fifty million, eight hundred twenty-two thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 103 105 119 135 153 189 255 309 315 357 459 515 595 721 765 927 945 1071 1545 1751 1785 2163 2295 2781 3213 3605 4635 5253 5355 6489 8755 10815 12257 13905 15759 16065 19467 26265 32445 36771 47277 51581 61285 78795 97335 110313 154743 183855 236385 257905 330939 361067 464229 551565 773715 876877 1083201 1392687 1654695 1805335 2321145 2630631 3249603 4384385 5312843 5416005 6138139 6963435 7891893 9748809 13153155 15938529 16248015 18414417 23675679 26564215 30690695 37189901 39459465 47815587 48744045 55243251 79692645 90318331 92072085 111569703 118378395 143446761 165729753 185949505 239077935 270954993 276216255 334709109 451591655 557848515 632228317 717233805 812864979 828648765 1004127327 1354774965 1673545545 1896684951 2438594937 3161141585 4064324895 5020636635 5690054853 9483424755 12192974685 17070164559 28450274265 85350822795