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5340705644800 = 28521811460787
BaseRepresentation
bin100110110110111101011…
…0111001110000100000000
3200220120021221220011100101
41031231322313032010000
51200000231121113200
615205253012532144
71060565443650001
oct115557267160400
920816257804311
105340705644800
111779a87117219
12723093621054
132c981b20cc16
141466c4a9d1a8
1593dcd80226a
hex4db7adce100

5340705644800 has 108 divisors (see below), whose sum is σ = 13226408986896. Its totient is φ = 2135098009600.

The previous prime is 5340705644761. The next prime is 5340705644861. The reversal of 5340705644800 is 84465070435.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11360007 + ... + 11820793.

Almost surely, 25340705644800 is an apocalyptic number.

5340705644800 is a gapful number since it is divisible by the number (50) 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 5340705644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613204493448).

5340705644800 is an abundant number, since it is smaller than the sum of its proper divisors (7885703342096).

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

5340705644800 is a wasteful number, since it uses less digits than its factorization.

5340705644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462624 (or 462605 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 5340705644800 in words is "five trillion, three hundred forty billion, seven hundred five million, six hundred forty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 1811 3200 3622 6400 7244 9055 14488 18110 28976 36220 45275 57952 72440 90550 115904 144880 181100 231808 289760 362200 460787 463616 579520 724400 921574 1159040 1448800 1843148 2303935 2318080 2897600 3686296 4607870 5795200 7372592 9215740 11519675 11590400 14745184 18431480 23039350 29490368 36862960 46078700 58980736 73725920 92157400 117961472 147451840 184314800 294903680 368629600 589807360 737259200 834485257 1474518400 1668970514 2949036800 3337941028 4172426285 6675882056 8344852570 13351764112 16689705140 20862131425 26703528224 33379410280 41724262850 53407056448 66758820560 83448525700 106814112896 133517641120 166897051400 213628225792 267035282240 333794102800 534070564480 667588205600 1068141128960 1335176411200 2670352822400 5340705644800