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5468351278560 = 253579714294101
BaseRepresentation
bin100111110010011001100…
…1000101010110111100000
3201100202202210200012122120
41033210303020222313200
51204043140411403220
615344043105504240
71103034561641562
oct117446310526740
921322683605576
105468351278560
111819129812125
12743977942080
133088813b5a21
1414c9535c7332
159739eb05a40
hex4f93322ade0

5468351278560 has 96 divisors (see below), whose sum is σ = 17246920414752. Its totient is φ = 1456397260800.

The previous prime is 5468351278543. The next prime is 5468351278613. The reversal of 5468351278560 is 658721538645.

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

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5468351278494 and 5468351278503.

It is a congruent number.

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, 6764491 + ... + 7529610.

It is an arithmetic number, because the mean of its divisors is an integer number (179655420987).

Almost surely, 25468351278560 is an apocalyptic number.

It is an amenable number.

5468351278560 is an abundant number, since it is smaller than the sum of its proper divisors (11778569136192).

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

5468351278560 is a wasteful number, since it uses less digits than its factorization.

5468351278560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14294916 (or 14294908 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 60.

The spelling of 5468351278560 in words is "five trillion, four hundred sixty-eight billion, three hundred fifty-one million, two hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 797 1594 2391 3188 3985 4782 6376 7970 9564 11955 12752 15940 19128 23910 25504 31880 38256 47820 63760 76512 95640 127520 191280 382560 14294101 28588202 42882303 57176404 71470505 85764606 114352808 142941010 171529212 214411515 228705616 285882020 343058424 428823030 457411232 571764040 686116848 857646060 1143528080 1372233696 1715292120 2287056160 3430584240 6861168480 11392398497 22784796994 34177195491 45569593988 56961992485 68354390982 91139187976 113923984970 136708781964 170885977455 182278375952 227847969940 273417563928 341771954910 364556751904 455695939880 546835127856 683543909820 911391879760 1093670255712 1367087819640 1822783759520 2734175639280 5468351278560