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85128135060 = 223567193109721
BaseRepresentation
bin100111101001000001…
…0000100000110010100
322010201201121022211010
41033102002010012110
52343320300310220
6103035103212220
76102361131453
oct1172202040624
9263651538733
1085128135060
1133114681931
12145b92a7070
1380486a8367
144197c72b9a
1523337d61e0
hex13d2084194

85128135060 has 96 divisors (see below), whose sum is σ = 243172040832. Its totient is φ = 22245949440.

The previous prime is 85128135013. The next prime is 85128135091. The reversal of 85128135060 is 6053182158.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721000 + ... + 830720.

It is an arithmetic number, because the mean of its divisors is an integer number (2533042092).

Almost surely, 285128135060 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 85128135060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121586020416).

85128135060 is an abundant number, since it is smaller than the sum of its proper divisors (158043905772).

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

85128135060 is a wasteful number, since it uses less digits than its factorization.

85128135060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109993 (or 109991 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 85128135060 in words is "eighty-five billion, one hundred twenty-eight million, one hundred thirty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 193 201 268 335 386 402 579 670 772 804 965 1005 1158 1340 1930 2010 2316 2895 3860 4020 5790 11580 12931 25862 38793 51724 64655 77586 109721 129310 155172 193965 219442 258620 329163 387930 438884 548605 658326 775860 1097210 1316652 1645815 2194420 3291630 6583260 7351307 14702614 21176153 22053921 29405228 36756535 42352306 44107842 63528459 73513070 84704612 88215684 105880765 110269605 127056918 147026140 211761530 220539210 254113836 317642295 423523060 441078420 635284590 1270569180 1418802251 2837604502 4256406753 5675209004 7094011255 8512813506 14188022510 17025627012 21282033765 28376045020 42564067530 85128135060