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6224268013020 = 22325881301913001
BaseRepresentation
bin101101010010011001101…
…0010001010110111011100
3211001000220221101000211200
41122210303102022313130
51303434300102404040
621123220024515500
71211455110112551
oct132446322126734
924030827330750
106224268013020
111a8a774032a62
1284637a91bb90
13361c3b356895
14177382d54a28
15abd92bde630
hex5a93348addc

6224268013020 has 144 divisors (see below), whose sum is σ = 18909425414880. Its totient is φ = 1657244160000.

The previous prime is 6224268012997. The next prime is 6224268013021. The reversal of 6224268013020 is 203108624226.

6224268013020 is a `hidden beast` number, since 6 + 2 + 2 + 426 + 80 + 130 + 20 = 666.

It is a super-3 number, since 3×62242680130203 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6224268013021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478746520 + ... + 478759520.

It is an arithmetic number, because the mean of its divisors is an integer number (131315454270).

Almost surely, 26224268013020 is an apocalyptic number.

6224268013020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6224268013020 is an abundant number, since it is smaller than the sum of its proper divisors (12685157401860).

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

6224268013020 is a wasteful number, since it uses less digits than its factorization.

6224268013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16916 (or 16911 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 6224268013020 in words is "six trillion, two hundred twenty-four billion, two hundred sixty-eight million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 881 1762 2643 3019 3524 4405 5286 6038 7929 8810 9057 10572 12076 13001 13215 15095 15858 17620 18114 26002 26430 27171 30190 31716 36228 39003 39645 45285 52004 52860 54342 60380 65005 78006 79290 90570 108684 117009 130010 135855 156012 158580 181140 195015 234018 260020 271710 390030 468036 543420 585045 780060 1170090 2340180 2659739 5319478 7979217 10638956 11453881 13298695 15958434 22907762 23937651 26597390 31916868 34361643 39250019 39896085 45815524 47875302 53194780 57269405 68723286 78500038 79792170 95750604 103084929 114538810 117750057 119688255 137446572 157000076 159584340 171808215 196250095 206169858 229077620 235500114 239376510 343616430 353250171 392500190 412339716 471000228 478753020 515424645 588750285 687232860 706500342 785000380 1030849290 1177500570 1413000684 1766250855 2061698580 2355001140 3532501710 7065003420 34579266739 69158533478 103737800217 138317066956 172896333695 207475600434 311213400651 345792667390 414951200868 518689001085 622426801302 691585334780 1037378002170 1244853602604 1556067003255 2074756004340 3112134006510 6224268013020