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5468029694208 = 28334211879079
BaseRepresentation
bin100111110010001111111…
…1101111011000100000000
3201100201221101120000212000
41033210133331323010000
51204042011100203313
615343551141104000
71103023605344064
oct117443775730400
921321841500760
105468029694208
111818a84236034
127438a80b8000
1330882c89b623
1414c9229d5aa4
1597381781673
hex4f91ff7b100

5468029694208 has 144 divisors (see below), whose sum is σ = 16208342774400. Its totient is φ = 1818346199040.

The previous prime is 5468029694177. The next prime is 5468029694227. The reversal of 5468029694208 is 8024969208645.

5468029694208 is a `hidden beast` number, since 5 + 46 + 80 + 2 + 96 + 9 + 420 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 1970413 + ... + 3849491.

Almost surely, 25468029694208 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 5468029694208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104171387200).

5468029694208 is an abundant number, since it is smaller than the sum of its proper divisors (10740313080192).

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

5468029694208 is a wasteful number, since it uses less digits than its factorization.

5468029694208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879525 (or 1879505 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 5468029694208 in words is "five trillion, four hundred sixty-eight billion, twenty-nine million, six hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 421 432 576 768 842 864 1152 1263 1684 1728 2304 2526 3368 3456 3789 5052 6736 6912 7578 10104 11367 13472 15156 20208 22734 26944 30312 40416 45468 53888 60624 80832 90936 107776 121248 161664 181872 242496 323328 363744 484992 727488 969984 1454976 1879079 2909952 3758158 5637237 7516316 11274474 15032632 16911711 22548948 30065264 33823422 45097896 50735133 60130528 67646844 90195792 101470266 120261056 135293688 180391584 202940532 240522112 270587376 360783168 405881064 481044224 541174752 721566336 791092259 811762128 1082349504 1443132672 1582184518 1623524256 2164699008 2373276777 3164369036 3247048512 4329398016 4746553554 6328738072 6494097024 7119830331 9493107108 12657476144 12988194048 14239660662 18986214216 21359490993 25314952288 28479321324 37972428432 42718981986 50629904576 56958642648 75944856864 85437963972 101259809152 113917285296 151889713728 170875927944 202519618304 227834570592 303779427456 341751855888 455669141184 607558854912 683503711776 911338282368 1367007423552 1822676564736 2734014847104 5468029694208