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21745170731340 = 22325725168757259
BaseRepresentation
bin1001111000110111100010…
…01011010101000101001100
32211222211002100002020022100
410330123301023111011030
510322233102201400330
6114125332111315100
74403015413335510
oct474336113250514
984884070066270
1021745170731340
116a24090a89651
12253243981ba90
13c1973a1077b4
14552686b9c140
1527a9960ba060
hex13c6f12d514c

21745170731340 has 144 divisors (see below), whose sum is σ = 75683591343360. Its totient is φ = 4950522576000.

The previous prime is 21745170731321. The next prime is 21745170731437. The reversal of 21745170731340 is 4313707154712.

21745170731340 is a `hidden beast` number, since 2 + 1 + 74 + 5 + 170 + 73 + 1 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 34062370 + ... + 34694889.

It is an arithmetic number, because the mean of its divisors is an integer number (525580495440).

Almost surely, 221745170731340 is an apocalyptic number.

21745170731340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21745170731340 is an abundant number, since it is smaller than the sum of its proper divisors (53938420612020).

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

21745170731340 is a wasteful number, since it uses less digits than its factorization.

21745170731340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68757532 (or 68757527 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 21745170731340 in words is "twenty-one trillion, seven hundred forty-five billion, one hundred seventy million, seven hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 251 252 315 420 502 630 753 1004 1255 1260 1506 1757 2259 2510 3012 3514 3765 4518 5020 5271 7028 7530 8785 9036 10542 11295 15060 15813 17570 21084 22590 26355 31626 35140 45180 52710 63252 79065 105420 158130 316260 68757259 137514518 206271777 275029036 343786295 412543554 481300813 618815331 687572590 825087108 962601626 1031358885 1237630662 1375145180 1443902439 1925203252 2062717770 2406504065 2475261324 2887804878 3094076655 4125435540 4331707317 4813008130 5775609756 6188153310 7219512195 8663414634 9626016260 12376306620 14439024390 17258072009 17326829268 21658536585 28878048780 34516144018 43317073170 51774216027 69032288036 86290360045 86634146340 103548432054 120806504063 155322648081 172580720090 207096864108 241613008126 258871080135 310645296162 345161440180 362419512189 483226016252 517742160270 604032520315 621290592324 724839024378 776613240405 1035484320540 1087258536567 1208065040630 1449678048756 1553226480810 1812097560945 2174517073134 2416130081260 3106452961620 3624195121890 4349034146268 5436292682835 7248390243780 10872585365670 21745170731340