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13112257073840 = 2451931377520911
BaseRepresentation
bin1011111011001110111101…
…1011001101001010110000
31201102112000201222201212222
42332303233123031022300
53204312400302330330
643515404315140212
72522220645110141
oct276635733151260
951375021881788
1013112257073840
1141a5971311891
1215792b0444668
1374163297aa72
143348caca1ac8
1517b12e9c20e5
hexbecef6cd2b0

13112257073840 has 160 divisors (see below), whose sum is σ = 34020995850240. Its totient is φ = 4678607692800.

The previous prime is 13112257073837. The next prime is 13112257073849. The reversal of 13112257073840 is 4837075221131.

It is a junction number, because it is equal to n+sod(n) for n = 13112257073791 and 13112257073800.

It is not an unprimeable number, because it can be changed into a prime (13112257073849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2017016 + ... + 5503895.

It is an arithmetic number, because the mean of its divisors is an integer number (212631224064).

Almost surely, 213112257073840 is an apocalyptic number.

13112257073840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13112257073840 is an abundant number, since it is smaller than the sum of its proper divisors (20908738776400).

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

13112257073840 is a wasteful number, since it uses less digits than its factorization.

13112257073840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7521011 (or 7521005 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 13112257073840 in words is "thirteen trillion, one hundred twelve billion, two hundred fifty-seven million, seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 37 38 40 62 74 76 80 95 124 148 152 155 185 190 248 296 304 310 370 380 496 589 592 620 703 740 760 1147 1178 1240 1406 1480 1520 2294 2356 2480 2812 2945 2960 3515 4588 4712 5624 5735 5890 7030 9176 9424 11248 11470 11780 14060 18352 21793 22940 23560 28120 43586 45880 47120 56240 87172 91760 108965 174344 217930 348688 435860 871720 1743440 7520911 15041822 30083644 37604555 60167288 75209110 120334576 142897309 150418220 233148241 278273707 285794618 300836440 466296482 556547414 571589236 601672880 714486545 932592964 1113094828 1143178472 1165741205 1391368535 1428973090 1865185928 2226189656 2286356944 2331482410 2782737070 2857946180 3730371856 4429816579 4452379312 4662964820 5287200433 5565474140 5715892360 8626484917 8859633158 9325929640 10574400866 11130948280 11431784720 17252969834 17719266316 18651859280 21148801732 22149082895 22261896560 26436002165 34505939668 35438532632 42297603464 43132424585 44298165790 52872004330 69011879336 70877065264 84595206928 86264849170 88596331580 105744008660 138023758672 163903213423 172529698340 177192663160 211488017320 327806426846 345059396680 354385326320 422976034640 655612853692 690118793360 819516067115 1311225707384 1639032134230 2622451414768 3278064268460 6556128536920 13112257073840