25186224188882925
25,186,224,188,882,925 is an odd composite number composed of six prime numbers multiplied together.
What does the number 25186224188882925 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
25186224188882925 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 25186224188882925:
36 × 52 × 73 × 293 × 31 × 732
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 29 × 29 × 29 × 31 × 73 × 73)See below for interesting mathematical facts about the number 25186224188882925 from the Numbermatics database.
Names of 25186224188882925
- Cardinal: 25186224188882925 can be written as Twenty-five quadrillion, one hundred eighty-six trillion, two hundred twenty-four billion, one hundred eighty-eight million, eight hundred eighty-two thousand, nine hundred twenty-five.
Scientific notation
- Scientific notation: 2.5186224188882925 × 1016
Factors of 25186224188882925
Divisors of 25186224188882925
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 29 31 35 45 49 63 73 75 81 87 93 105 135 145 147 155 175 189 203 217 219 225 243 245 261 279 315 343 365 405 435 441 465 511 525 567 609 651 657 675 725 729 735 775 783 837 841 899 945 1015 1029 1085 1095 1215 1225 1305 1323 1395 1421 1519 1533 1575 1701 1715 1825 1827 1953 1971 2025 2117 2175 2205 2263 2325 2349 2511 2523 2555 2697 2835 3045 3087 3255 3285 3577 3645 3675 3915 3969 4185 4205 4263 4495 4557 4599 4725 5075 5103 5145 5329 5425 5475 5481 5859 5887 5913 6075 6293 6351 6525 6615 6789 6975 7047 7105 7533 7569 7595 7665 8091 8505 8575 9135 9261 9765 9855 9947 10585 10633 10731 11025 11315 11745 11907 12555 12615 12775 12789 13485 13671 13797 14175 14819 15225 15435 15841 15987 16275 16425 16443 17577 17661 17739 17885 18225 18879 19053 19575 19845 20367 20925 21025 21141 21315 22475 22599 22707 22785 22995 24273 24389 25039 25515 25725 26071 26645 27405 27783 29295 29435 29565 29841 31465 31755 31899 32193 33075 33945 35235 35525 35721 37303 37665 37845 37975 38325 38367 40455 41013 41209 41391 42525 44051 44457 45675 46305 47523 47961 48825 49275 49329 49735 52731 52925 52983 53165 53217 53655 56575 56637 57159 58725 59535 61101 61393 62775 63075 63945 65627 67425 68121 68355 68985 72819 73167 74095 75117 77175 78213 79205 79935 82215 83349 87885 88305 88695 89425 89523 94395 95265 95697 96579 99225 101835 103733 105705 106575 110887 111909 112995 113535 113925 114975 115101 121365 121945 123039 123627 124173 125195 127575 130355 132153 133225 133371 137025 138915 142569 143883 146475 147175 147825 147987 149205 154541 157325 158193 158775 158949 159495 160965 165199 169725 169911 170723 171477 176175 178605 182497 183303 184179 186515 188325 189225 191835 196881 202275 204363 205065 206045 206955 218457 219501 220255 222285 225351 231525 234639 237615 239805 246645 248675 250047 261121 263655 264915 265825 266085 268275 268569 283185 285795 287091 288463 289737 297675 305505 306965 308357 311199 319725 328135 332661 335727 340605 341775 344925 345303 364095 365835 369117 370475 370881 372519 375585 391065 396025 396459 399675 400113 411075 416745 427707 429751 431649 439425 441525 443475 447615 459389 463623 471975 476325 476847 478485 482895 495597 509175 509733 512169 514431 518665 528525 547491 549909 552537 554435 559545 564975 567675 575505 590643 606825 609725 613089 615195 618135 620865 625975 651775 655371 658503 660765 666855 676053 694575 703917 712845 719415 726131 739935 746025 756059 772705 776209 783363 790965 794745 797475 804825 805707 825995 849555 853615 857385 861273 865389 869211 893025 912485 916515 920895 925071 932575 933597 959175 984405 997983 1007181 1021815 1025325 1030225 1034775 1035909 1081787 1092285 1097505 1101275 1107351 1111425 1112643 1126755 1156393 1173195 1188075 1189377 1195061 1199025 1200339 1233225 1250235 1277479 1283121 1289253 1294947 1305605 1318275 1324575 1330425 1342845 1378167 1390869 1415925 1428975 1430541 1435455 1442315 1448685 1486791 1527525 1529199 1534825 1536507 1541785 1543293 1555995 1640675 1642473 1649727 1657611 1663305 1678635 1703025 1726515 1771929 1780397 1820475 1827847 1829175 1845585 1854405 1862595 1877925 1903183 1955325 1975509 1982295 2000565 2028159 2083725 2111751 2138535 2148755 2158245 2178393 2238075 2268177 2296945 2318115 2328627 2350089 2384235 2392425 2414475 2417121 2477985 2548665 2560845 2572155 2583819 2593325 2596167 2607633 2737455 2749545 2762685 2772175 2775213 2797725 2800791 2877525 2953215 2993949 3008257 3021543 3065445 3075975 3090675 3104325 3215723 3245361 3276855 3292515 3303825 3334275 3337929 3380265 3469179 3519585 3564225 3568131 3585183 3597075 3601017 3630655 3699675 3780295 3832437 3849363 3863525 3867759 3881045 3884841 3916815 3954825 3973725 4028535 4129975 4134501 4172607 4247775 4268075 4286925 4291623 4306365 4326945 4346055 4460373 4481689 4562425 4582575 4587597 4604475 4609521 4625355 4667985 4790771 4922025 4927419 4972833 4989915 5035905 5109075 5179545 5292413 5315787 5341191 5408935 5461425 5483541 5487525 5536755 5563215 5633775 5709549 5781965 5865975 5926527 5946885 5975305 6001695 6084477 6251175 6335253 6387395 6415605 6446265 6474735 6528025 6535179 6714225 6804531 6890835 6954345 6985881 7050267 7152705 7177275 7211575 7243425 7251363 7433955 7572509 7645995 7682535 7708925 7716465 7751457 7779975 7788501 8094751 8212365 8248635 8288055 8316525 8325639 8365427 8393175 8402373 8632575 8859645 8901985 8942353 8981847 9024771 9064629 9139235 9227925 9272025 9312975 9515915 9647169 9736083 9877545 9911475 10002825 10013787 10140795 10407537 10558755 10692675 10704393 10743775 10755549 10791225 10803051 10891965 11340885 11484725 11497311 11548089 11590575 11603277 11643135 11750445 11921175 12085605 12389925 12403503 12462779 12517821 12743325 12804225 12860775 12919095 12980835 13038165 13322281 13381119 13445067 13687275 13747725 13813425 13828563 13876065 14003955 14372313 14766075 14782257 14918499 14969745 15041285 15107715 15327225 15877239 15947361 16023573 16078615 16226805 16384275 16450623 16462575 16689645 16901325 17128647 17345895 17597925 17779581 17840655 17925915 18005085 18153275 18253431 18901475 19005759 19162185 19246815 19338795 19405225 19424205 19584075 19605537 20142675 20413593 20672505 20863035 20957643 21057799 21150801 21458115 21531825 21634725 21730275 22301865 22408445 22510061 22717527 22937985 23047605 23126775 23339925 23365503 23953855 24284253 24637095 24864165 24949575 24976917 25096281 25179525 25207119 25897725 26462065 26578935 26705955 26827059 26945541 27044675 27074313 27193887 27417705 27683775 27816075 28547745 28909825 28941507 29208249 29632635 29734425 29876525 30008475 30041361 30422385 31222611 31371823 31676265 31936975 32078025 32113179 32231325 32266647 32373675 32675895 33535397 34022655 34454175 34491933 34771725 34809831 34929405 35251335 35763525 36256815 37046891 37169775 37210509 37388337 37553463 37862545 38229975 38412675 38582325 38757285 38942505 39966843 40143357 40335201 40473755 41061825 41243175 41440275 41485689 41628195 41827135 42011865 43116939 44298225 44346771 44509925 44711765 44755497 44909235 45123855 45323145 45696175 47579575 47631717 47842083 48070719 48235845 48680415 49351869 49387725 50068935 50703975 51385941 52037685 52793775 53007563 53521965 53777745 54015255 54459825 55192307 56663257 56704425 57486555 57740445 58016385 58215675 58752225 58816611 60428025 61240779 62017515 62313895 62589105 62872929 63173397 63452403 64595475 64904175 65190825 66611405 66905595 67225335 67530183 68152581 69142815 69380325 70019775 70096509 71861565 72852759 73911285 74592495 74848725 74930751 75206425 75288843 75538575 75621357 79386195 79736805 80117865 80393075 80481177 80836623 81134025 81222939 82253115 83448225 85643235 86729475 86824521 87239453 87624747 88897905 89203275 89629575 90025425 91267155 93255967 93667833 94115469 95028795 95810925 96234075 96693975 96799941 97121025 98027685 100606191 102067965 103362525 103475799 104315175 104429493 104788215 105288995 105754005 107290575 111140673 111509325 111631527 112042225 112165011 112550305 112660389 113587635 114689925 115238025 116827515 119769275 119900529 120430071 121005603 121421265 123185475 124320825 124457067 124884585 125481405 126035595 129350817 129968981 132310325 132894675 133040313 133529775 134135295 134727705 135371565 135969435 137088525 138932359 142738725 142895151 144212157 144707535 146041245 148055607 148163175 150206805 152111925 154157823 156113055 156859115 158381325 159022689 160565895 161333235 163379475 165576921 167676985 169989771 170113275 172459665 174049155 174647025 176256675 176449833 181284075 183722337 185234455 186052545 186941685 187767315 188618787 189312725 189520191 190357209 193786425 194712525 199834215 200716785 201676005 202368775 202590549 204457743 207428445 208140975 209135675 210059325 210289527 215584695 218558277 219602761 221733855 223558825 223777485 224546175 224792253 225619275 225866529 226615725 234747779 238158585 239210415 240353595 241179225 241443531 243402075 243668817 246759345 250344675 256929705 259328237 260188425 260473563 261718359 262874241 265037815 267609825 268888725 270076275 275961535 279767901 281003499 282346407 283316285 287432775 288702225 290081925 290399823 294083055 301818573 306203895 310087575 310427397 311569475 312945525 313288479 314364645 315866985 317262015 333057025 333422019 334527975 334894581 336126675 336495033 337650915 340762905 345714075 350482545 359307825 359701587 363016809 364263795 369556425 372962475 374653755 376444215 378106785 386346149 388052451 389906943 396930975 398684025 400589325 402405885 404183115 406114695 411265575 416797077 428216175 428685453 432636471 434122605 436197265 438123735 444166821 444489525 456335775 462473469 466279835 468339165 470577345 475143975 477068067 483999705 490138425 496730763 503030955 509969313 510339825 517378995 522147465 523941075 526444975 528770025 529349499 551167011 555703365 558157635 560825055 562751525 563301945 565856361 567938175 568560573 584137575 599502645 602150355 605028015 607106325 607771647 610676171 613373229 622285335 624422925 627407025 630177975 646754085 649844905 652791769 655674831 658808283 665201565 670676475 673638525 676857825 677599587 679847175 694661795 704243337 714475755 721060785 723537675 724330593 730206225 731006451 740278035 751034025 770789115 777984711 780565275 781420689 784295575 785155077 788622723 795113445 802829475 806666175 827884605 838384925 839303703 843010497 847039221 849948855 862298325 870245775 871199469 882249165 905455719 909782867 918611685 926172275 930262725 931282191 934708425 938836575 943093935 947600955 951786045 972526513 999171075 1000266057 1003583925 1008380025 1009485099 1012952745 1022288715 1037142225 1051447635 1077923475 1079104761 1089050427 1092791385 1098013805 1108669275 1118887425 1123961265 1129332645 1159038447 1164157353 1169720829 1173738895 1190792925 1196052075 1201767975 1207217655 1218344085 1233796725 1250391231 1284648525 1286056359 1296641185 1297909413 1302367815 1308591795 1314371205 1325189075 1332500463 1379807675 1387420407 1398839505 1405017495 1411732035 1416581425 1431204201 1451999115 1470415275 1490192289 1509092865 1529907939 1531019475 1537219327 1552136985 1566442395 1571823225 1579334925 1586310075 1643234453 1667110095 1674472905 1682475165 1688254575 1703814525 1705681719 1752412725 1798507935 1815084045 1821318975 1823314941 1832028513 1840119687 1873268775 1882221075 1890533925 1931730745 1940262255 1949534715 1958375307 1967024493 1976424849 2012029425 2020915575 2030573475 2032798761 2083985385 2112730011 2143427265 2163182355 2170613025 2172991779 2180986325 2190618675 2193019353 2220834105 2312367345 2331399175 2333954133 2341695825 2344262067 2352886725 2355465231 2385340335 2419998525 2483653815 2515154775 2517911109 2541117663 2549846565 2586894975 2610737325 2646747495 2704423043 2716367157 2729348601 2755835055 2778516825 2790788175 2804125275 2816509725 2829281805 2842802865 2917579539 2997513225 3000798171 3010751775 3025140075 3028455297 3038858235 3053380855 3066866145 3111426675 3233770425 3237314283 3249224525 3263958845 3267151281 3278374155 3294041415 3326007825 3387997935 3473308975 3477115341 3492472059 3509162487 3521216685 3572378775 3605303925 3621652965 3655032255 3701390175 3751173693 3853945575 3858169077 3889923555 3907103445 3925775385 3943113615 3975567225 4029038411 4139423025 4196518515 4215052485 4235196105 4249744275 4293612603 4355997345 4411245825 4470576867 4527278595 4548914335 4589723817 4593058425 4611657981 4656410955 4715469675 4738004775 4758930225 4862632565 4929703359 5001330285 5047425495 5064763725 5111443575 5117045157 5257238175 5395523805 5445252135 5463956925 5469944823 5490069025 5496085539 5520359061 5619806325 5646663225 5795192235 5820786765 5848604145 5868694475 5875125921 5901073479 5929274547 6036088275 6091720425 6098396283 6251956155 6338190033 6368480069 6430281795 6483205925 6489547065 6511839075 6518975337 6542958975 6571856025 6662502315 6807685591 6937102035 6994197525 7001862399 7025087475 7058660175 7066395693 7156021005 7259995575 7450961445 7545464325 7553733327 7623352989 7649539695 7686096635 7760684925 7832211975 8113269129 8149101471 8188045803 8216172265 8335550475 8372364525 8412375825 8528408595 8752738617 8992539675 9002394513 9075420225 9085365891 9116574705 9160142565 9200598435 9658653725 9701311275 9711942849 9747673575 9791876535 9835122465 9882124245 10163993805 10419926925 10431346023 10527487461 10563650055 10717136325 10815911775 10864958895 10965096765 11104170525 11253521079 11561836725 11669770665 11721310335 11777326155 11926701675 12087115233 12418269075 12589555545 12705588315 12749232825 12880837809 13233737475 13411730601 13522115215 13581835785 13646743005 13769171451 13779175275 13834973943 14146409025 14214014325 14587897695 14789110077 15003990855 15142276485 15194291175 15266904275 15334330725 15351135471 16186571415 16319794225 16335756405 16391870775 16409834469 16470207075 16488256617 16939989675 17385576705 17462360295 17545812435 17606083425 17625377763 17787823641 18108264825 18275161275 18755868465 18930961301 19014570099 19105440207 19290845385 19449617775 19535517225 19628876925 19715568075 20145192055 20423056773 20982592575 21005587197 21075262425 21175980525 21199187079 21468063015 21779986725 22352884335 22636392975 22661199981 22744571675 22870058967 22948619085 23058289905 23282054775 24313162825 24339807387 24447304413 24564137409 24648516795 25006651425 25237127475 25585225785 26258215851 26977619025 27007183539 27226260675 27349724115 27480427695 27601795305 28203268877 28975961175 29103933825 29243020725 29375629605 29505367395 29646372735 30491981415 31259780775 31294038069 31582462383 31690950165 31842400345 32151408975 32447735325 32594876685 33312511575 33760563237 34038427955 34685510175 35009311995 35331978465 35780105025 36261345699 37254807225 37768666635 38116764945 38247698475 38430483175 38642513427 40235191803 40566345645 40745507355 40940229015 41080861325 41307514353 41504921829 42642042975 43763693085 44367330231 44579360483 45011972565 45426829455 45582873525 45800712825 46002992175 47653799137 48559714245 48959382675 49175612325 49410621225 49464769851 50819969025 52156730115 52637437305 52818250275 52876133289 53363470923 54324794475 54825483825 56267605395 56792883903 57043710297 57316320621 58348853325 58606551675 58886630775 60435576165 61269170319 62947777725 63016761591 63527941575 63597561237 64404189045 67058653005 67610576075 67909178925 67983599943 68233715025 68845857255 69174869715 72939488475 73019422161 73692412227 73945550385 75019954275 75711382425 76755677355 78774647553 80932857075 81678782025 82049172345 82441283085 84609806631 86927883525 87311801475 87729062175 88126888815 88939118205 93779342325 93882114207 94654806505 94747387149 95072850495 95527201035 96454226925 100725960275 101281689711 102115283865 105027935985 105995935395 107340315075 108784037097 111764421675 113305999905 114350294835 114743095425 115291449525 121699036935 122236522065 122820687045 123242583975 124514765487 127926128925 131291079255 133101990693 133738081449 135035917695 136748620575 137402138475 138008976525 141016344385 142961397411 146878148025 147526836975 148231863675 148394309553 152459907075 156470190345 157912311915 158454750825 158628399867 159212001725 160090412769 162974383425 168802816185 170192139775 170378651709 171131130891 171948961863 175046559975 176659892325 181306728495 183807510957 188843333175 189050284773 190583824725 193212567135 197422882139 201175959015 202831728225 203727536775 204701145075 206537571765 207524609145 218818465425 219058266483 221077236681 221836651155 222896802415 225059862825 227134147275 236323942659 238268995685 242798571225 247323849255 253829419893 260783650575 263187186525 264380666445 266817354615 281338026975 281646342621 283964419515 285218551485 286581603105 302177880825 306345851595 315083807955 317987806185 322020945225 326352111291 335293265025 339917999715 344229286275 345874348575 365097110805 368462061135 369727751925 373544296461 383778386775 393873237765 399305972079 401214244347 410245861725 412206415425 423049033155 428884192233 440634444075 444695591025 445182928659 469410571035 473274032525 473736935745 475364252475 475885199601 477636005175 506408448555 510576419325 511135955127 515846885589 525139679925 529979676975 543920185485 551422532871 566529999525 571751474175 592268646417 608495184675 611182610325 614103435225 622573827435 656455396275 657174799449 663231710043 665509953465 668690407245 675179588475 705081721925 708971827977 714806987055 741971547765 761488259679 782350951725 789561559575 793141999335 800452063845 844014080925 851893258545 855655654455 859744809315 906533642475 919037554785 945251423865 966062835675 979056333873 987114410695 1005879795075 1032687858825 1037623045725 1095291332415 1105386183405 1109183255775 1114484012075 1120632889383 1181619713295 1191344978425 1197917916237 1203642733041 1236619246275 1269147099465 1286652576699 1321903332225 1334086773075 1381960174973 1408231713105 1419822097575 1426092757425 1432908015525 1531729257975 1533407865381 1547540656767 1575419039775 1589939030925 1631760556455 1654267598613 1699589998575 1776805939251 1825485554025 1842310305675 1867721482305 1969366188825 1971524398347 1996529860395 2006071221735 2115245165775 2144420961165 2225914643295 2284464779037 2347052855175 2368684678725 2379425998005 2532042242775 2555679775635 2579234427945 2719600927425 2757112664355 2937169001619 2961343232085 3112869137175 3285873997245 3316158550215 3327549767325 3343452036225 3544859139885 3574034935275 3610928199123 3709857738825 3807441298395 3859957730097 3965709996675 4002260319225 4145880524919 4259466292725 4278278272275 4298724046575 4595187773925 4600223596143 4642621970301 4726257119325 4895281669365 4935572053475 4962802795839 5330417817753 5476456662075 5526930917025 5603164446915 5908098566475 5989589581185 6018213665205 6345735497325 6433262883495 6853394337111 6909800874865 7041158565525 7667039326905 7737703283835 8158802782275 8271337993065 8884029696255 9338607411525 9857621991735 9982649301975 10030356108675 10722104805825 10832784597369 11129573216475 11422323895185 11579873190291 11897129990025 12437641574757 12778398878175 12896172139725 13785563321775 13800670788429 14685845008095 14806716160425 15991253453259 16429369986225 16580792751075 17724295699425 18054640995615 19037206491975 19299788650485 20560183011333 20729402624595 23001117980715 23213109851505 24476408346825 24814013979195 26652089088765 28015822234575 29947947905925 30091068326025 32166314417475 32498353792107 34266971685555 34549004374325 34739619570873 37312924724271 38335196634525 38688516419175 41356689965325 44420148481275 47973760359777 49288109958675 54163922986845 57111619475925 57899365951455 62188207873785 69003353942145 73429225040475 79956267266295 90273204978075 96498943252425 102800915056665 103647013122975 111938774172813 115005589903575 116065549257525 124070069895975 133260445443825 143921281079331 162491768960535 171334858427775 173698097854365 186564623621355 239868801798885 270819614934225 289496829757275 310941039368925 335816322518439 345016769710725 399781336331475 514004575283325 559693870864065 719606405396655 812458844802675 868490489271825 932823118106775 1007448967555317 1199344008994425 1679081612592195 2798469354320325 3598032026983275 5037244837776585 8395408062960975 25186224188882925
- Sum of all divisors σ(n): 59191608137472000
- Sum of proper divisors (its aliquot sum) s(n): 34005383948589075
- 25186224188882925 is an abundant number, because the sum of its proper divisors (34005383948589075) is greater than itself. Its abundance is 8819159759706150
Bases of 25186224188882925
- Binary: 10110010111101010111100110010100000001011111111111011012
- Hexadecimal: 0x597ABCCA02FFED
- Base-36: 6VZRRNT0TT9
Squares and roots of 25186224188882925
- 25186224188882925 squared (251862241888829252) is 634345888892671353327159356555625
- 25186224188882925 cubed (251862241888829253) is 15976777770947039619053757118048180917344375203125
-
The
square root of 25186224188882925 is 158701683.0058299193 -
The
cube root of 25186224188882925 is 293126.0089610561
Scales and comparisons
How big is 25186224188882925?- 25,186,224,188,882,925 seconds is equal to 800,844,023 years, 5 weeks, 1 day, 8 hours, 48 minutes, 45 seconds.
-
To count from 1 to 25,186,224,188,882,925 would take you about two billion, four hundred two million, five hundred thirty-two thousand and sixty-nine 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 25186224188882925 cubic inches would be around 24427.2 feet tall.
Recreational maths with 25186224188882925
- 25186224188882925 backwards is 52928888142268152
- 25186224188882925 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 25186224188882925's digits is 81
- 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 25186224188882925 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 25186224188882925 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/25186224188882925/
Chicago style:
Numbermatics. 2024. "Number 25186224188882925 - Facts about the integer". https://numbermatics.com/n/25186224188882925/
The information we have on file for 25186224188882925 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 25186224188882925, math, Factors of 25186224188882925, curriculum, school, college, exams, university, Prime factorization of 25186224188882925, STEM, science, technology, engineering, physics, economics, calculator, twenty-five quadrillion, one hundred eighty-six trillion, two hundred twenty-four billion, one hundred eighty-eight million, eight hundred eighty-two thousand, nine hundred twenty-five.