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56811765044100 = 223521137465288821
BaseRepresentation
bin11001110101011100001010…
…00100110001001110000100
321110011011002120211201110210
430322232011010301032010
524421300443322402400
6320454544202315420
714652341333104413
oct1472560504611604
9243134076751423
1056811765044100
1117113809318a80
1264566011b8b70
1325914322baca1
1410059c009947a
15687c0ebe8950
hex33ab85131384

56811765044100 has 144 divisors (see below), whose sum is σ = 184165038058176. Its totient is φ = 13400318016000.

The previous prime is 56811765044071. The next prime is 56811765044117. The reversal of 56811765044100 is 144056711865.

It is a self number, because there is not a number n which added to its sum of digits gives 56811765044100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232522311 + ... + 232766510.

It is an arithmetic number, because the mean of its divisors is an integer number (1278923875404).

Almost surely, 256811765044100 is an apocalyptic number.

56811765044100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56811765044100 is an abundant number, since it is smaller than the sum of its proper divisors (127353273014076).

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

56811765044100 is a wasteful number, since it uses less digits than its factorization.

56811765044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465288886 (or 465288879 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 56811765044100 in words is "fifty-six trillion, eight hundred eleven billion, seven hundred sixty-five million, forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 465288821 930577642 1395866463 1861155284 2326444105 2791732926 4652888210 5118177031 5583465852 6979332315 9305776420 10236354062 11632220525 13958664630 15354531093 17215686377 20472708124 23264441050 25590885155 27917329260 30709062186 34431372754 34896661575 46528882100 51181770310 51647059131 61418124372 68862745508 69793323150 76772655465 86078431885 102363540620 103294118262 127954425775 139586646300 153545310930 172156863770 189372550147 206588236524 255908851550 258235295655 307090621860 344313727540 378745100294 383863277325 430392159425 511817703100 516470591310 568117650441 757490200588 767726554650 860784318850 946862750735 1032941182620 1136235300882 1291176478275 1535453109300 1721568637700 1893725501470 2272470601764 2582352956550 2840588252205 3787451002940 4734313753675 5164705913100 5681176504410 9468627507350 11362353008820 14202941261025 18937255014700 28405882522050 56811765044100