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54368404320 = 2535472409947
BaseRepresentation
bin110010101000100111…
…000000001101100000
312012100000202002210110
4302220213000031200
51342321302414240
640550531331320
73633204545256
oct625047001540
9165300662713
1054368404320
112106a60195a
12a653a50b40
135185abc659
1428ba9825d6
15163313bc80
hexca89c0360

54368404320 has 96 divisors (see below), whose sum is σ = 174904386048. Its totient is φ = 14189762048.

The previous prime is 54368404289. The next prime is 54368404331. The reversal of 54368404320 is 2340486345.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182414 + ... + 1227533.

It is an arithmetic number, because the mean of its divisors is an integer number (1821920688).

Almost surely, 254368404320 is an apocalyptic number.

It is an amenable number.

54368404320 is an abundant number, since it is smaller than the sum of its proper divisors (120535981728).

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

54368404320 is a wasteful number, since it uses less digits than its factorization.

54368404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410012 (or 2410004 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 54368404320 in words is "fifty-four billion, three hundred sixty-eight million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 11280 22560 2409947 4819894 7229841 9639788 12049735 14459682 19279576 24099470 28919364 36149205 38559152 48198940 57838728 72298410 77118304 96397880 113267509 115677456 144596820 192795760 226535018 231354912 289193640 339802527 385591520 453070036 566337545 578387280 679605054 906140072 1132675090 1156774560 1359210108 1699012635 1812280144 2265350180 2718420216 3398025270 3624560288 4530700360 5436840432 6796050540 9061400720 10873680864 13592101080 18122801440 27184202160 54368404320