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56813861894340 = 22354723118717767
BaseRepresentation
bin11001110101100000000100…
…00011100111100011000100
321110011100111201102202020210
430322300002003213203010
524421314242121104330
6320455532225155420
714652444314042415
oct1472600203474304
9243140451382223
1056813861894340
11171146949a5661
126456aa748bb70
1325916a7845285
141005b3c76580c
15687cd3d3c8b0
hex33ac020e78c4

56813861894340 has 96 divisors (see below), whose sum is σ = 162533787623424. Its totient is φ = 14821597042560.

The previous prime is 56813861894323. The next prime is 56813861894341. The reversal of 56813861894340 is 4349816831865.

It is not an unprimeable number, because it can be changed into a prime (56813861894341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2158137 + ... + 10875903.

It is an arithmetic number, because the mean of its divisors is an integer number (1693060287744).

Almost surely, 256813861894340 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 56813861894340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81266893811712).

56813861894340 is an abundant number, since it is smaller than the sum of its proper divisors (105719925729084).

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

56813861894340 is a wasteful number, since it uses less digits than its factorization.

56813861894340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720137 (or 8720135 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 66.

The spelling of 56813861894340 in words is "fifty-six trillion, eight hundred thirteen billion, eight hundred sixty-one million, eight hundred ninety-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2311 2820 4622 6933 9244 11555 13866 23110 27732 34665 46220 69330 108617 138660 217234 325851 434468 543085 651702 1086170 1303404 1629255 2172340 3258510 6517020 8717767 17435534 26153301 34871068 43588835 52306602 87177670 104613204 130766505 174355340 261533010 409735049 523066020 819470098 1229205147 1638940196 2048675245 2458410294 4097350490 4916820588 6146025735 8194700980 12292051470 20146759537 24584102940 40293519074 60440278611 80587038148 100733797685 120880557222 201467595370 241761114444 302201393055 402935190740 604402786110 946897698239 1208805572220 1893795396478 2840693094717 3787590792956 4734488491195 5681386189434 9468976982390 11362772378868 14203465473585 18937953964780 28406930947170 56813861894340