96459473476800
96,459,473,476,800 is an even composite number composed of seven prime numbers multiplied together.
96459473476800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 96459473476800:
26 × 32 × 52 × 72 × 41 × 532 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 41 × 53 × 53 × 1187)See below for interesting mathematical facts about the number 96459473476800 from the Numbermatics database.
Names of 96459473476800
- Cardinal: 96459473476800 can be written as Ninety-six trillion, four hundred fifty-nine billion, four hundred seventy-three million, four hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 9.64594734768 × 1013
Factors of 96459473476800
Divisors of 96459473476800
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 41 42 45 48 49 50 53 56 60 63 64 70 72 75 80 82 84 90 96 98 100 105 106 112 120 123 126 140 144 147 150 159 160 164 168 175 180 192 196 200 205 210 212 224 225 240 245 246 252 265 280 287 288 294 300 315 318 320 328 336 350 360 369 371 392 400 410 420 424 441 448 450 477 480 490 492 504 525 530 560 574 576 588 600 615 630 636 656 672 700 720 735 738 742 784 795 800 820 840 848 861 882 900 954 960 980 984 1008 1025 1050 1060 1113 1120 1148 1176 1187 1200 1225 1230 1260 1272 1312 1325 1344 1400 1435 1440 1470 1476 1484 1568 1575 1590 1600 1640 1680 1696 1722 1764 1800 1845 1855 1908 1960 1968 2009 2016 2050 2100 2120 2173 2205 2226 2240 2296 2352 2374 2385 2400 2450 2460 2520 2544 2583 2597 2624 2650 2800 2809 2870 2880 2940 2952 2968 3075 3136 3150 3180 3280 3339 3360 3392 3444 3528 3561 3600 3675 3690 3710 3816 3920 3936 3975 4018 4032 4100 4200 4240 4305 4346 4410 4452 4592 4704 4748 4770 4800 4900 4920 5040 5088 5166 5194 5300 5565 5600 5618 5740 5880 5904 5935 5936 6027 6150 6300 6360 6519 6560 6678 6720 6888 7056 7122 7175 7200 7350 7380 7420 7632 7791 7840 7872 7950 8036 8200 8309 8400 8427 8480 8610 8692 8820 8904 9184 9225 9275 9408 9496 9540 9800 9840 10045 10080 10176 10332 10388 10600 10683 10865 11025 11130 11200 11236 11480 11760 11808 11870 11872 11925 12054 12300 12600 12720 12915 12985 13038 13120 13356 13776 14045 14112 14244 14350 14400 14700 14760 14840 15211 15264 15582 15680 15900 16072 16400 16618 16695 16800 16854 16960 17220 17384 17640 17805 17808 18081 18368 18450 18550 18992 19080 19557 19600 19663 19680 20090 20160 20664 20776 21200 21366 21525 21730 22050 22260 22472 22960 23373 23520 23616 23740 23744 23850 24108 24600 24927 25200 25281 25440 25830 25970 26076 26712 27552 27825 28090 28224 28488 28700 29400 29520 29675 29680 30135 30422 30528 31164 31800 32144 32595 32800 33236 33390 33600 33708 34440 34768 35280 35610 35616 36162 36900 37100 37984 38160 38955 39114 39200 39326 39360 40180 41328 41545 41552 42135 42400 42732 43050 43460 44100 44520 44944 45633 45920 46746 47040 47480 47700 48216 48667 49200 49854 50225 50400 50562 50880 51660 51940 52152 53415 53424 54325 55104 55650 56180 56976 57400 58163 58800 58989 59040 59350 59360 60270 60844 62328 62911 63600 64288 64575 64925 65190 65600 66472 66780 67416 68880 69536 70225 70560 71220 71232 72324 73800 74200 74781 75968 76055 76320 77910 78228 78400 78652 80360 82656 83090 83104 83475 84270 84800 85464 86100 86920 88200 89025 89040 89888 90405 91266 91840 93492 94960 95400 96432 97334 97785 98315 98400 99708 100450 100800 101124 103320 103880 104304 106477 106830 106848 108650 111300 112360 113952 114800 115169 116326 116865 117600 117978 118080 118700 118720 120540 121688 124635 124656 125822 126405 127200 128576 129150 129850 130380 132944 133560 134832 136899 137641 137760 139072 140450 141120 142440 144648 146001 147600 148400 149562 150675 152110 152640 155820 156456 157304 160720 162975 165312 166180 166208 166950 168540 170928 172200 173840 174489 176400 176967 178050 178080 179776 180810 182532 186984 188733 189920 190800 192864 194668 194775 195570 196630 196800 199416 200900 202248 206640 207725 207760 208608 210675 212954 213660 213696 217300 222600 224720 227904 228165 229600 230338 232652 233730 235200 235956 237400 241080 243335 243376 249270 249312 251644 252810 254400 258300 259700 260760 265888 267075 267120 269664 273798 275282 275520 280900 284880 289296 290815 292002 294945 295200 296800 299124 301350 304220 311640 312912 314555 314608 319431 321440 325950 332360 333900 337080 340669 341856 344400 345507 347680 348978 352800 353934 356100 356160 361620 365064 373905 373968 377466 379840 380275 381600 385728 389336 389550 391140 393260 398832 401800 404496 412923 413280 415450 415520 417216 421350 425908 427320 434600 438003 440377 445200 449440 452025 456330 459200 460676 465304 467460 471912 474800 482160 486670 486752 488925 491575 498540 498624 503288 505620 516600 519400 521520 523467 531776 532385 534150 534240 539328 547596 550564 561800 566199 569760 575845 578592 581630 584004 584325 589890 590400 593600 598248 602700 608440 623175 623280 625824 629110 629216 632025 638862 642880 651900 664720 667800 674160 681338 683712 684495 688205 688800 691014 695360 697956 705600 707868 712200 723240 730005 730128 747810 747936 754932 760550 763200 778672 779100 782280 786520 797664 803600 806183 808992 825846 826560 830900 831040 842700 851816 854640 869200 872445 876006 880754 884835 890400 898880 904050 912660 921352 930608 934920 943665 943824 949600 958293 964320 973340 973504 977850 983150 997080 1006576 1011240 1022007 1033200 1036521 1038800 1043040 1046934 1064770 1068300 1068480 1095192 1101128 1123600 1132398 1139520 1140825 1151690 1157184 1163260 1168008 1168650 1179780 1196496 1205400 1216675 1216880 1238769 1246350 1246560 1251648 1258220 1258432 1264050 1277724 1303800 1321131 1329440 1335600 1348320 1362676 1368990 1376410 1377600 1382028 1395912 1415736 1424400 1446480 1454075 1460010 1460256 1474725 1495620 1495872 1509864 1521100 1557344 1558200 1564560 1572775 1573040 1595328 1597155 1607200 1612366 1617984 1651692 1661800 1685400 1703345 1703632 1709280 1727535 1738400 1744890 1752012 1761508 1769670 1780800 1808100 1825320 1842704 1861216 1869525 1869840 1887330 1887648 1899200 1916586 1928640 1946680 1955700 1966300 1994160 2013152 2022480 2044014 2064615 2066400 2073042 2077600 2086080 2093868 2129540 2136600 2190015 2190384 2201885 2202256 2247200 2264796 2281650 2303380 2326520 2336016 2337300 2359560 2384683 2392992 2410800 2418549 2433350 2433760 2477538 2492700 2493120 2516440 2528100 2555448 2579351 2607600 2617335 2642262 2658880 2661925 2671200 2696640 2725352 2737980 2752820 2764056 2791824 2830995 2831472 2848800 2879225 2892960 2908150 2920020 2920512 2949450 2991240 3019728 3042200 3066021 3082639 3114688 3116400 3129120 3145550 3146080 3194310 3214400 3224732 3303384 3323600 3334283 3370800 3406690 3407264 3418560 3422475 3441025 3455070 3476800 3489780 3504024 3523016 3539340 3616200 3650025 3650640 3685408 3722432 3739050 3739680 3774660 3775296 3833172 3893360 3911400 3932600 3963393 3988320 4026304 4030915 4044960 4088028 4129230 4132800 4146084 4155200 4187736 4259080 4273200 4362225 4380030 4380768 4403770 4404512 4424175 4494400 4529592 4563300 4606760 4653040 4672032 4674600 4718325 4719120 4769366 4785984 4791465 4821600 4837098 4866700 4867520 4955076 4985400 5032880 5056200 5110035 5110896 5158702 5182605 5215200 5234670 5284524 5323850 5342400 5450704 5475960 5505640 5528112 5583648 5643281 5661990 5662944 5697600 5758450 5785920 5816300 5840040 5898900 5982480 6039456 6084400 6132042 6165278 6193845 6232800 6258240 6291100 6292160 6388620 6449464 6605655 6606768 6647200 6668566 6741600 6813380 6814528 6844950 6882050 6910140 6979560 7008048 7046032 7078680 7154049 7232400 7255647 7300050 7301280 7370816 7478100 7479360 7549320 7666344 7738053 7786720 7822800 7865200 7926786 7976640 7985775 8061830 8089920 8176056 8258460 8292168 8375472 8516725 8518160 8546400 8637675 8724450 8760060 8761536 8807540 8809024 8848350 9059184 9126600 9213520 9247917 9306080 9344064 9349200 9436650 9438240 9538732 9582930 9643200 9674196 9733400 9910152 9970800 10002849 10065760 10112400 10220070 10221792 10317404 10323075 10365210 10430400 10469340 10569048 10647700 10901408 10950075 10951920 11009425 11011280 11056224 11167296 11286562 11323980 11325888 11516900 11632600 11680080 11797800 11923415 11964960 12078912 12092745 12168800 12264084 12330556 12387690 12465600 12582200 12777240 12896755 12898928 13086675 13211310 13213536 13294400 13337132 13483200 13626760 13689900 13764100 13820280 13959120 14016096 14092064 14154975 14157360 14308098 14464800 14511294 14600100 14602560 14956200 15098640 15330105 15332688 15413195 15476106 15573440 15645600 15730400 15853572 15971550 16123660 16352112 16516920 16584336 16671415 16750944 16929843 17033450 17036320 17092800 17275350 17448900 17520120 17615080 17696700 18055457 18118368 18253200 18427040 18495834 18612160 18698400 18873300 18876480 19077464 19165860 19348392 19466800 19816965 19820304 19941600 20005698 20131520 20154575 20224800 20440140 20443584 20634808 20646150 20730420 20938680 21138096 21295400 21462147 21802816 21900150 21903840 22018850 22022560 22112448 22573124 22647960 23033800 23214159 23265200 23339981 23360160 23595600 23846830 23929920 23957325 24185490 24337600 24528168 24661112 24775380 25164400 25550175 25554480 25793510 25797856 25913025 26173350 26422620 26427072 26674264 27253520 27379800 27528200 27640560 27743751 27918240 28032192 28184128 28216405 28309950 28314720 28616196 28929600 29022588 29200200 29912400 30008547 30197280 30660210 30665376 30826390 30952212 30969225 31291200 31460800 31707144 31943100 32247320 32704224 33028275 33033840 33168672 33342830 33501888 33859686 34066900 34072640 34550700 34897800 35040240 35230160 35393400 35770245 36110914 36236736 36278235 36506400 36854080 36991668 37396800 37746600 38154928 38331720 38690265 38696784 38933600 39633930 39640608 39883200 40011396 40309150 40449600 40880280 41269616 41292300 41460840 41877360 42276192 42590800 42924294 43800300 43807680 44037700 44045120 45146248 45295920 46067600 46239585 46428318 46530400 46679962 46720320 47191200 47693660 47914650 48370980 49056336 49322224 49550760 50014245 50328800 50789529 51100350 51108960 51587020 51595712 51826050 52346700 52845240 53348528 54166371 54507040 54759600 55056400 55281120 55487502 55836480 56432810 56619900 56629440 57232392 58045176 58400400 59617075 59824800 60017094 60394560 60463725 61320420 61330752 61652780 61904424 61938450 63414288 63886200 64483775 64494640 65408448 66056550 66067680 66337344 66685660 67719372 68133800 69101400 69795600 70019943 70080480 70460320 70786800 71540490 72221828 72556470 73012800 73983336 75493200 76309856 76650525 76663440 77065975 77380530 77393568 77867200 79267860 79281216 80022792 80618300 81760560 82539232 82584600 82921680 83357075 83754720 84552384 84649215 85181600 85848588 87600600 88075400 90277285 90292496 90591840 92135200 92479170 92856636 93060800 93359924 94382400 95387320 95829300 96741960 98112672 98644448 99084825 99101520 100028490 100657600 101579058 102200700 102217920 103174040 103652100 104693400 105690480 106697056 107310735 108332742 109014080 109519200 110112800 110562240 110975004 112865620 113239800 114464784 116070795 116090352 116699905 116800800 119234150 119649600 120034188 120927450 122640840 123305560 123808848 123876900 126388199 126828576 127772400 128967550 128989280 132113100 132135360 133371320 135438744 136267600 136705603 138202800 138718755 139591200 140039886 140160960 140920640 141082025 141573600 143080980 144443656 145112940 147966672 150042735 150986400 152619712 153301050 153326880 154131950 154761060 154787136 158535720 160045584 161236600 162499113 163379867 163521120 165078464 165169200 165843360 166714150 167509440 169298430 170363200 171697176 175201200 176150800 178851225 180554570 180584992 181183680 181391175 184270400 184958340 185713272 186719848 190774640 191658600 193451325 193483920 196225344 197288896 198169650 198203040 200056980 203158116 204401400 206348080 207304200 209386800 210059829 211380960 213394112 214621470 216665484 219038400 220225600 221950008 225731240 226479600 228929568 231197925 232141590 232180704 233399810 233601600 238468300 240068376 241854900 245281680 246611120 247617696 247753800 250071225 252776398 253657152 253947645 255544800 257935100 257978560 264226200 266742640 270831855 270877488 272535200 273411206 276405600 277437510 279182400 280079772 282164050 283147200 286161960 288887312 290225880 295933344 300085470 301972800 306602100 306653760 308263900 309522120 317071440 320091168 322473200 324998226 326759734 327042240 330338400 331686720 333428300 338596860 343394352 350099715 350402400 352301600 357702450 361109140 361169984 362782350 369916680 371426544 373439696 379164597 381549280 383317200 386902650 386967840 396339300 396406080 400113960 406316232 408802800 410116809 412696160 414608400 418773600 420119658 422761920 423246075 429242940 433330968 443900016 451386425 451462480 452959200 457859136 462395850 464283180 464361408 466799620 476936600 480136752 483709800 490139601 490563360 493222240 495235392 495507600 500142450 505552796 507895290 511089600 515870200 528452400 533485280 536553675 541663710 541754976 545070400 546822412 552811200 554875020 560159544 564328100 572323920 577774624 580353975 580451760 583499525 591866688 600170940 613204200 616527800 619044240 631940995 634142880 640182336 644946400 649996452 653519468 660676800 666856600 677193720 683528015 686788704 693593775 700199430 700804800 704603200 715404900 722218280 725564700 739833360 742853088 746879392 750213675 758329194 763098560 766634400 773805300 773935680 792678600 800227920 812495565 812632464 816899335 817605600 820233618 825392320 829216800 837547200 840239316 846492150 858485880 866661936 887800032 902772850 902924960 905918400 924791700 928566360 933599240 953873200 956939221 960273504 967419600 980279202 981126720 986444480 991015200 1000284900 1011105592 1015790580 1031740400 1050299145 1056904800 1066970560 1073107350 1083327420 1083509952 1093644824 1109750040 1120319088 1128656200 1137493791 1144647840 1155549248 1160707950 1160903520 1166999050 1200341880 1226408400 1230350427 1233055600 1238088480 1263881990 1268285760 1269738225 1289892800 1299992904 1307038936 1333713200 1354159275 1354387440 1367056030 1373577408 1387187550 1400398860 1430809800 1444436560 1451129400 1470418803 1479666720 1485706176 1493758784 1500427350 1516658388 1533268800 1547610600 1585357200 1600455840 1624991130 1625264928 1633798670 1635211200 1640467236 1658433600 1680478632 1692984300 1716971760 1733323872 1750498575 1775600064 1805545700 1805849920 1849583400 1857132720 1867198480 1895822985 1907746400 1913878442 1920547008 1934839200 1960558404 1982030400 2000569800 2022211184 2031581160 2050584045 2063480800 2100598290 2113809600 2146214700 2166654840 2187289648 2219500080 2240638176 2257312400 2274987582 2289295680 2321415900 2321807040 2333998100 2400683760 2450698005 2452816800 2460700854 2466111200 2476176960 2527763980 2539476450 2599985808 2614077872 2667426400 2708318550 2708774880 2734112060 2774375100 2800797720 2861619600 2870817663 2888873120 2902258800 2940837606 2959333440 3000854700 3033316776 3095221200 3159704975 3170714400 3200911680 3249982260 3250529856 3267597340 3280934472 3360957264 3385968600 3417640075 3433943520 3466647744 3500997150 3611091400 3699166800 3714265440 3734396960 3791645970 3815492800 3827756884 3869678400 3921116808 4001139600 4044422368 4062477825 4063162320 4084496675 4101168090 4126961600 4201196580 4292429400 4333309680 4374579296 4439000160 4481276352 4514624800 4549975164 4642831800 4667996200 4784696105 4801367520 4901396010 4905633600 4921401708 4932222400 5055527960 5078952900 5199971616 5228155744 5251495725 5334852800 5416637100 5417549760 5468224120 5548750200 5601595440 5687468955 5723239200 5741635326 5777746240 5804517600 5881675212 6001709400 6066633552 6151752135 6190442400 6319409950 6341428800 6499964520 6535194680 6561868944 6698574547 6721914528 6771937200 6835280150 6867887040 7001994300 7222182800 7352094015 7398333600 7428530880 7468793920 7583291940 7655513768 7842233616 8002279200 8088844736 8124955650 8126324640 8168993350 8202336180 8402393160 8584858800 8612452989 8666619360 8749158592 8878000320 9029249600 9099950328 9285663600 9335992400 9479114925 9569392210 9602735040 9802792020 9842803416 10111055920 10157905800 10252920225 10399943232 10456311488 10502991450 10833274200 10936448240 11097500400 11203190880 11374937910 11446478400 11483270652 11609035200 11763350424 12003418800 12133267104 12253490025 12303504270 12380884800 12638819900 12999929040 13070389360 13123737888 13397149094 13443829056 13543874400 13670560300 14003988600 14354088315 14444365600 14704188030 14796667200 15166583880 15311027536 15684467232 16004558400 16249911300 16252649280 16337986700 16404672360 16804786320 17169717600 17224905978 17333238720 18199900656 18571327200 18671984800 18958229850 19138784420 19605584040 19685606832 20095723641 20222111840 20315811600 20505840450 21005982900 21666548400 21872896480 22195000800 22406381760 22749875820 22966541304 23526700848 23923480525 24006837600 24266534208 24506980050 24607008540 25277639800 25999858080 26140778720 26247475776 26794298188 27087748800 27341120600 28007977200 28437344775 28708176630 28888731200 29408376060 30333167760 30622055072 30758760675 31368934464 32499822600 32675973400 32809344720 33492872735 33609572640 34339435200 34449811956 36399801312 36760470075 37142654400 37343969600 37916459700 38277568840 39211168080 39371213664 40191447282 40444223680 40631623200 41011680900 42011965800 43062264945 43333096800 43745792960 44390001600 45499751640 45933082608 47053401696 47846961050 48013675200 49013960100 49214017080 50555279600 51999716160 52281557440 53588596376 54682241200 56015954400 56874689550 57416353260 58816752120 60287170923 60666335520 61244110144 61517521350 64999645200 65351946800 65618689440 66985745470 67219145280 68899623912 71770441575 72799602624 73520940150 75832919400 76555137680 78422336160 78742427328 80382894564 81263246400 82023361800 84023931600 86124529890 86666193600 90999503280 91866165216 94106803392 95693922100 98027920200 98428034160 100478618205 101110559200 107177192752 109364482400 112031908800 113749379100 114832706520 117633504240 120574341846 121332671040 123035042700 129999290400 130703893600 131237378880 133971490940 137799247824 143540883150 147041880300 151665838800 153110275360 156844672320 160765789128 164046723600 167464363675 168047863200 172249059780 181999006560 183732330432 191387844200 196055840400 196856068320 200957236410 202221118400 214354385504 215311324725 218728964800 227498758200 229665413040 235267008480 241148683692 246070085400 259998580800 261407787200 267942981880 275598495648 287081766300 294083760600 301435854615 303331677600 306220550720 321531578256 328093447200 334928727350 336095726400 344498119560 363998013120 382775688400 392111680800 393712136640 401914472820 428708771008 430622649450 454997516400 459330826080 470534016960 482297367384 492140170800 502393091025 535885963760 551196991296 574163532600 588167521200 602871709230 606663355200 643063156512 656186894400 669857454700 688996239120 765551376800 784223361600 803828945640 861245298900 909995032800 918661652160 964594734768 984280341600 1004786182050 1071771927520 1148327065200 1176335042400 1205743418460 1286126313024 1339714909400 1377992478240 1507179273075 1531102753600 1607657891280 1722490597800 1819990065600 1929189469536 1968560683200 2009572364100 2143543855040 2296654130400 2352670084800 2411486836920 2679429818800 2755984956480 3014358546150 3215315782560 3444981195600 3858378939072 4019144728200 4593308260800 4822973673840 5358859637600 6028717092300 6430631565120 6889962391200 8038289456400 9645947347680 10717719275200 12057434184600 13779924782400 16076578912800 19291894695360 24114868369200 32153157825600 48229736738400 96459473476800
- Sum of all divisors σ(n): 416745291578616
- Sum of proper divisors (its aliquot sum) s(n): 320285818101816
- 96459473476800 is an abundant number, because the sum of its proper divisors (320285818101816) is greater than itself. Its abundance is 223826344625016
Bases of 96459473476800
- Binary: 101011110111010101110001010011011011100110000002
- Hexadecimal: 0x57BAB8A6DCC0
- Base-36: Y6WVBZXS0
Squares and roots of 96459473476800
- 96459473476800 squared (964594734768002) is 9304430023421482680138240000
- 96459473476800 cubed (964594734768003) is 897500421060966111372125139437432832000000
-
The
square root of 96459473476800 is 9821378.3898595415 -
The
cube root of 96459473476800 is 45861.5042763485
Scales and comparisons
How big is 96459473476800?- 96,459,473,476,800 seconds is equal to 3,067,112 years, 46 weeks, 1 day, 4 hours.
-
To count from 1 to 96,459,473,476,800 would take you about seven million, six hundred sixty-seven thousand, seven hundred eighty-two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 96459473476800 cubic inches would be around 3821.8 feet tall.
Recreational maths with 96459473476800
- 96459473476800 backwards is 00867437495469
- 96459473476800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 96459473476800's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 96459473476800 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 96459473476800 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/96459473476800/
Chicago style:
Numbermatics. 2024. "Number 96459473476800 - Facts about the integer". https://numbermatics.com/n/96459473476800/
The information we have on file for 96459473476800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 96459473476800, math, Factors of 96459473476800, curriculum, school, college, exams, university, Prime factorization of 96459473476800, STEM, science, technology, engineering, physics, economics, calculator, ninety-six trillion, four hundred fifty-nine billion, four hundred seventy-three million, four hundred seventy-six thousand, eight hundred.