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19806548916420 = 22325761257696447
BaseRepresentation
bin1001000000011100100100…
…10011111111100011000100
32121010111011110010020121100
410200032102103333203010
510044002303010311140
6110043000350020100
74112655513652440
oct440162223774304
977114143106540
1019806548916420
116346a01564762
12227a7851a7630
13b089989b1846
144c68dbc35820
15245331826530
hex1203924ff8c4

19806548916420 has 144 divisors (see below), whose sum is σ = 69788321261568. Its totient is φ = 4452994586880.

The previous prime is 19806548916419. The next prime is 19806548916431. The reversal of 19806548916420 is 2461984560891.

19806548916420 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 6 + 548 + 9 + 1 + 64 + 20 = 666.

It is a super-2 number, since 2×198065489164202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128771364 + ... + 128925083.

It is an arithmetic number, because the mean of its divisors is an integer number (484641119872).

Almost surely, 219806548916420 is an apocalyptic number.

19806548916420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19806548916420 is an abundant number, since it is smaller than the sum of its proper divisors (49981772345148).

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

19806548916420 is a wasteful number, since it uses less digits than its factorization.

19806548916420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257696530 (or 257696525 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 19806548916420 in words is "nineteen trillion, eight hundred six billion, five hundred forty-eight million, nine hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 915 1098 1220 1260 1281 1708 1830 2135 2196 2562 2745 3660 3843 4270 5124 5490 6405 7686 8540 10980 12810 15372 19215 25620 38430 76860 257696447 515392894 773089341 1030785788 1288482235 1546178682 1803875129 2319268023 2576964470 3092357364 3607750258 3865446705 4638536046 5153928940 5411625387 7215500516 7730893410 9019375645 9277072092 10823250774 11596340115 15461786820 15719483267 16234876161 18038751290 21646501548 23192680230 27058126935 31438966534 32469752322 36077502580 46385360460 47158449801 54116253870 62877933068 64939504644 78597416335 81174380805 94316899602 108232507740 110036382869 141475349403 157194832670 162348761610 188633799204 220072765738 235792249005 282950698806 314389665340 324697523220 330109148607 440145531476 471584498010 550181914345 565901397612 660218297214 707376747015 943168996020 990327445821 1100363828690 1320436594428 1414753494030 1650545743035 1980654891642 2200727657380 2829506988060 3301091486070 3961309783284 4951637229105 6602182972140 9903274458210 19806548916420