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68421055823000 = 23533118112194093
BaseRepresentation
bin11111000111010100001001…
…01110100011110010011000
322222020222201000120220221122
433203222010232203302120
532432002310242314000
6401304111002024412
720261154355413026
oct1743520456436230
9288228630526848
1068421055823000
111a88a230308151
1278105611a8108
132c2410213c43a
1412c784d77d716
157d9bc6bd9085
hex3e3a84ba3c98

68421055823000 has 128 divisors (see below), whose sum is σ = 166183064087040. Its totient is φ = 26339238720000.

The previous prime is 68421055822963. The next prime is 68421055823011. The reversal of 68421055823000 is 32855012486.

68421055823000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×684210558230003 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486047 + ... + 11708046.

It is an arithmetic number, because the mean of its divisors is an integer number (1298305188180).

Almost surely, 268421055823000 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 68421055823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83091532043520).

68421055823000 is an abundant number, since it is smaller than the sum of its proper divisors (97762008264040).

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

68421055823000 is a wasteful number, since it uses less digits than its factorization.

68421055823000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12194326 (or 12194312 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 68421055823000 in words is "sixty-eight trillion, four hundred twenty-one billion, fifty-five million, eight hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 181 200 248 250 310 362 500 620 724 775 905 1000 1240 1448 1550 1810 3100 3620 3875 4525 5611 6200 7240 7750 9050 11222 15500 18100 22444 22625 28055 31000 36200 44888 45250 56110 90500 112220 140275 181000 224440 280550 561100 701375 1122200 1402750 2805500 5611000 12194093 24388186 48776372 60970465 97552744 121940930 243881860 304852325 378016883 487763720 609704650 756033766 1219409300 1512067532 1524261625 1890084415 2207130833 2438818600 3024135064 3048523250 3780168830 4414261666 6097046500 7560337660 8828523332 9450422075 11035654165 12194093000 15120675320 17657046664 18900844150 22071308330 37801688300 44142616660 47252110375 55178270825 68421055823 75603376600 88285233320 94504220750 110356541650 136842111646 189008441500 220713083300 273684223292 275891354125 342105279115 378016883000 441426166600 547368446584 551782708250 684210558230 1103565416500 1368421116460 1710526395575 2207130833000 2736842232920 3421052791150 6842105582300 8552631977875 13684211164600 17105263955750 34210527911500 68421055823000