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284939394820 = 225236111179091
BaseRepresentation
bin1000010010101111011…
…01100001111100000100
31000020110220202000101021
410021113231201330010
514132023441113240
6334522132040524
726405030615413
oct4112755417404
91006426660337
10284939394820
11aa929950763
1247281763144
1320b3c883302
14db10c6347a
15762a3c754a
hex4257b61f04

284939394820 has 96 divisors (see below), whose sum is σ = 635262840576. Its totient is φ = 107125286400.

The previous prime is 284939394787. The next prime is 284939394821. The reversal of 284939394820 is 28493939482.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (284939394821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31338475 + ... + 31347565.

It is an arithmetic number, because the mean of its divisors is an integer number (6617321256).

Almost surely, 2284939394820 is an apocalyptic number.

284939394820 is a gapful number since it is divisible by the number (20) 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 284939394820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317631420288).

284939394820 is an abundant number, since it is smaller than the sum of its proper divisors (350323445756).

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

284939394820 is a wasteful number, since it uses less digits than its factorization.

284939394820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10301 (or 10299 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 284939394820 in words is "two hundred eighty-four billion, nine hundred thirty-nine million, three hundred ninety-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 305 460 610 1117 1220 1403 2234 2806 4468 5585 5612 7015 9091 11170 14030 18182 22340 25691 28060 36364 45455 51382 68137 90910 102764 128455 136274 181820 209093 256910 272548 340685 418186 513820 554551 681370 836372 1045465 1109102 1362740 1567151 2090930 2218204 2772755 3134302 4181860 5545510 6268604 7835755 10154647 11091020 12754673 15671510 20309294 25509346 31343020 40618588 50773235 51018692 63773365 101546470 127546730 203092940 233556881 255093460 467113762 619433467 934227524 1167784405 1238866934 2335568810 2477733868 3097167335 4671137620 6194334670 12388669340 14246969741 28493939482 56987878964 71234848705 142469697410 284939394820