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84808804880000 = 27548911911349
BaseRepresentation
bin10011010010001000010110…
…101100000100111010000000
3102010021122100102121201020102
4103102020112230010322000
542104001413022130000
6500212343242101532
723602143150145535
oct2322102654047200
9363248312551212
1084808804880000
1125028237437133
1296186211aa8a8
133842588b1b586
1416d2aa779cd8c
159c1111bbe3d5
hex4d2216b04e80

84808804880000 has 160 divisors (see below), whose sum is σ = 213498441832500. Its totient is φ = 33542355968000.

The previous prime is 84808804879979. The next prime is 84808804880047. The reversal of 84808804880000 is 8840880848.

It can be written as a sum of positive squares in 10 ways, for example, as 15802024230976 + 69006780649024 = 3975176^2 + 8307032^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1164326 + ... + 13075674.

Almost surely, 284808804880000 is an apocalyptic number.

84808804880000 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 84808804880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106749220916250).

84808804880000 is an abundant number, since it is smaller than the sum of its proper divisors (128689636952500).

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

84808804880000 is an equidigital number, since it uses as much as digits as its factorization.

84808804880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11911472 (or 11911445 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 56.

The spelling of 84808804880000 in words is "eighty-four trillion, eight hundred eight billion, eight hundred four million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 128 160 178 200 250 320 356 400 445 500 625 640 712 800 890 1000 1250 1424 1600 1780 2000 2225 2500 2848 3200 3560 4000 4450 5000 5696 7120 8000 8900 10000 11125 11392 14240 16000 17800 20000 22250 28480 35600 40000 44500 55625 56960 71200 80000 89000 111250 142400 178000 222500 284800 356000 445000 712000 890000 1424000 1780000 3560000 7120000 11911349 23822698 47645396 59556745 95290792 119113490 190581584 238226980 297783725 381163168 476453960 595567450 762326336 952907920 1060110061 1191134900 1488918625 1524652672 1905815840 2120220122 2382269800 2977837250 3811631680 4240440244 4764539600 5300550305 5955674500 7444593125 7623263360 8480880488 9529079200 10601100610 11911349000 14889186250 16961760976 19058158400 21202201220 23822698000 26502751525 29778372500 33923521952 38116316800 42404402440 47645396000 53005503050 59556745000 67847043904 84808804880 95290792000 106011006100 119113490000 132513757625 135694087808 169617609760 190581584000 212022012200 238226980000 265027515250 339235219520 424044024400 476453960000 530055030500 662568788125 678470439040 848088048800 952907920000 1060110061000 1325137576250 1696176097600 2120220122000 2650275152500 3392352195200 4240440244000 5300550305000 8480880488000 10601100610000 16961760976000 21202201220000 42404402440000 84808804880000