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55378640221312 = 2723431732528657
BaseRepresentation
bin11001001011101110110000…
…01011011011010010000000
321021002010221122122120121111
430211313120023123102000
524224310423344040222
6313440332431533104
714443655221104112
oct1445673013332200
9237063848576544
1055378640221312
1116710a49761091
12626490268a194
1324b924cb12675
14d964aa4293b2
156607d3961777
hex325dd82db480

55378640221312 has 128 divisors (see below), whose sum is σ = 118479562565760. Its totient is φ = 25719951409152.

The previous prime is 55378640221291. The next prime is 55378640221349. The reversal of 55378640221312 is 21312204687355.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20636088 + ... + 23164744.

It is an arithmetic number, because the mean of its divisors is an integer number (925621582545).

Almost surely, 255378640221312 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 55378640221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59239781282880).

55378640221312 is an abundant number, since it is smaller than the sum of its proper divisors (63100922344448).

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

55378640221312 is a wasteful number, since it uses less digits than its factorization.

55378640221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528910 (or 2528898 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 55378640221312 in words is "fifty-five trillion, three hundred seventy-eight billion, six hundred forty million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 128 172 173 184 344 346 368 688 692 736 989 1376 1384 1472 1978 2752 2768 2944 3956 3979 5504 5536 7439 7912 7958 11072 14878 15824 15916 22144 29756 31648 31832 59512 63296 63664 119024 126592 127328 171097 238048 254656 342194 476096 509312 684388 952192 1368776 2528657 2737552 5057314 5475104 10114628 10950208 20229256 21900416 40458512 58159111 80917024 108732251 116318222 161834048 217464502 232636444 323668096 434929004 437457661 465272888 869858008 874915322 930545776 1739716016 1749830644 1861091552 2500841773 3479432032 3499661288 3722183104 5001683546 6958864064 6999322576 7444366208 10003367092 10061526203 13917728128 13998645152 18810679423 20006734184 20123052406 27997290304 37621358846 40013468368 40246104812 55994580608 75242717692 80026936736 80492209624 150485435384 160053873472 160984419248 300970870768 320107746944 321968838496 432645626729 601941741536 643937676992 865291253458 1203883483072 1287875353984 1730582506916 2407766966144 3461165013832 6922330027664 13844660055328 27689320110656 55378640221312