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850241032080 = 243511415377549
BaseRepresentation
bin11000101111101100101…
…00001000111110010000
310000021121202111121110120
430113312110020332100
5102412243201011310
61450332332030240
7115266523346136
oct14276624107620
93007552447416
10850241032080
112a8648995810
12118948002380
136223c93bc1b
142d21aab9756
15171b3de8b70
hexc5f6508f90

850241032080 has 160 divisors (see below), whose sum is σ = 2876090025600. Its totient is φ = 206066749440.

The previous prime is 850241032079. The next prime is 850241032099. The reversal of 850241032080 is 80230142058.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10925146 + ... + 11002694.

It is an arithmetic number, because the mean of its divisors is an integer number (17975562660).

Almost surely, 2850241032080 is an apocalyptic number.

850241032080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850241032080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438045012800).

850241032080 is an abundant number, since it is smaller than the sum of its proper divisors (2025848993520).

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

850241032080 is a wasteful number, since it uses less digits than its factorization.

850241032080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81729 (or 81723 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 850241032080 in words is "eight hundred fifty billion, two hundred forty-one million, thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4153 8306 12459 16612 20765 24918 33224 41530 45683 49836 62295 66448 77549 83060 91366 99672 124590 137049 155098 166120 182732 199344 228415 232647 249180 274098 310196 332240 365464 387745 456830 465294 498360 548196 620392 685245 730928 775490 853039 913660 930588 996720 1096392 1163235 1240784 1370490 1550980 1706078 1827320 1861176 2192784 2326470 2559117 2740980 3101960 3412156 3654640 3722352 4265195 4652940 5118234 5481960 6203920 6824312 8530390 9305880 10236468 10963920 12795585 13648624 17060780 18611760 20472936 25591170 34121560 40945872 51182340 68243120 102364680 204729360 322060997 644121994 966182991 1288243988 1610304985 1932365982 2576487976 3220609970 3542670967 3864731964 4830914955 5152975952 6441219940 7085341934 7729463928 9661829910 10628012901 12882439880 14170683868 15458927856 17713354835 19323659820 21256025802 25764879760 28341367736 35426709670 38647319640 42512051604 53140064505 56682735472 70853419340 77294639280 85024103208 106280129010 141706838680 170048206416 212560258020 283413677360 425120516040 850241032080