Search a number
-
+
8285314831220 = 22572171672977951
BaseRepresentation
bin111100010010001001100…
…1111110101001101110100
31002100001211211120120011102
41320210103033311031310
52041221311044044340
625342115431025232
71513410553032500
oct170442317651564
932301754516142
108285314831220
112704867251909
12b198bb20b218
134813c019838b
14209023311300
15e57c029d215
hex789133f5374

8285314831220 has 144 divisors (see below), whose sum is σ = 21558752474112. Its totient is φ = 2657570227200.

The previous prime is 8285314831109. The next prime is 8285314831259. The reversal of 8285314831220 is 221384135828.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1293245 + ... + 4271195.

It is an arithmetic number, because the mean of its divisors is an integer number (149713558848).

Almost surely, 28285314831220 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 8285314831220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10779376237056).

8285314831220 is an abundant number, since it is smaller than the sum of its proper divisors (13273437642892).

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

8285314831220 is a wasteful number, since it uses less digits than its factorization.

8285314831220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978158 (or 2978149 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 8285314831220 in words is "eight trillion, two hundred eighty-five billion, three hundred fourteen million, eight hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 167 170 196 238 245 334 340 476 490 595 668 833 835 980 1169 1190 1666 1670 2338 2380 2839 3332 3340 4165 4676 5678 5845 8183 8330 11356 11690 14195 16366 16660 19873 23380 28390 32732 39746 40915 56780 79492 81830 99365 139111 163660 198730 278222 397460 556444 695555 1391110 2782220 2977951 5955902 11911804 14889755 20845657 29779510 41691314 50625167 59559020 83382628 101250334 104228285 145919599 202500668 208456570 253125835 291839198 354376169 416913140 497317817 506251670 583678396 708752338 729597995 994635634 1012503340 1417504676 1459195990 1771880845 1989271268 2480633183 2486589085 2918391980 3481224719 3543761690 4961266366 4973178170 6962449438 7087523380 8454402889 9922532732 9946356340 12403165915 13924898876 16908805778 17406123595 24368573033 24806331830 33817611556 34812247190 42272014445 48737146066 49612663660 59180820223 69624494380 84544028890 97474292132 118361640446 121842865165 169088057780 236723280892 243685730330 295904101115 414265741561 487371460660 591808202230 828531483122 1183616404460 1657062966244 2071328707805 4142657415610 8285314831220