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84861984780 = 223253154727803
BaseRepresentation
bin100111100001000101…
…0110010000000001100
322010001011210111021100
41033002022302000030
52342244132003110
6102552434503100
76062646653226
oct1170212620014
9263034714240
1084861984780
1132a98418221
1214544134a90
1380054cc8a1
144170791416
15231a261bc0
hex13c22b200c

84861984780 has 144 divisors (see below), whose sum is σ = 266213735424. Its totient is φ = 21859044480.

The previous prime is 84861984763. The next prime is 84861984829. The reversal of 84861984780 is 8748916848.

84861984780 is a `hidden beast` number, since 8 + 4 + 8 + 619 + 8 + 4 + 7 + 8 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3038359 + ... + 3066161.

It is an arithmetic number, because the mean of its divisors is an integer number (1848706496).

Almost surely, 284861984780 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 84861984780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133106867712).

84861984780 is an abundant number, since it is smaller than the sum of its proper divisors (181351750644).

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

84861984780 is a wasteful number, since it uses less digits than its factorization.

84861984780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28396 (or 28391 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 84861984780 in words is "eighty-four billion, eight hundred sixty-one million, nine hundred eighty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 547 558 620 930 1094 1116 1395 1641 1860 2188 2735 2790 3282 4923 5470 5580 6564 8205 9846 10940 16410 16957 19692 24615 27803 32820 33914 49230 50871 55606 67828 83409 84785 98460 101742 111212 139015 152613 166818 169570 203484 250227 254355 278030 305226 333636 339140 417045 500454 508710 556060 610452 763065 834090 861893 1000908 1017420 1251135 1526130 1668180 1723786 2502270 2585679 3052260 3447572 4309465 5004540 5171358 7757037 8618930 10342716 12928395 15208241 15514074 17237860 25856790 30416482 31028148 38785185 45624723 51713580 60832964 76041205 77570370 91249446 136874169 152082410 155140740 182498892 228123615 273748338 304164820 456247230 471455471 547496676 684370845 912494460 942910942 1368741690 1414366413 1885821884 2357277355 2737483380 2828732826 4243099239 4714554710 5657465652 7071832065 8486198478 9429109420 14143664130 16972396956 21215496195 28287328260 42430992390 84861984780