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82306590917782 = 271119331424320029
BaseRepresentation
bin10010101101101101111111…
…000111010100010010010110
3101210102102200211121012211011
4102231231333013110102112
541242002344233332112
6451015043105002434
723223312023330560
oct2255557707242226
9353372624535734
1082306590917782
1124253035932310
12929369a92341a
1336c062a85992a
141647935a56330
1597aeb3a34aa7
hex4adb7f1d4496

82306590917782 has 128 divisors (see below), whose sum is σ = 162561198182400. Its totient is φ = 30279307766400.

The previous prime is 82306590917779. The next prime is 82306590917791. The reversal of 82306590917782 is 28771909560328.

It is a super-2 number, since 2×823065909177822 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4109360944 + ... + 4109380972.

It is an arithmetic number, because the mean of its divisors is an integer number (1270009360800).

Almost surely, 282306590917782 is an apocalyptic number.

82306590917782 is a deficient number, since it is larger than the sum of its proper divisors (80254607264618).

82306590917782 is a wasteful number, since it uses less digits than its factorization.

82306590917782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24642.

The product of its (nonzero) digits is 91445760, while the sum is 67.

The spelling of 82306590917782 in words is "eighty-two trillion, three hundred six billion, five hundred ninety million, nine hundred seventeen thousand, seven hundred eighty-two".

Divisors: 1 2 7 11 14 19 22 38 77 133 154 209 266 331 418 662 1463 2317 2926 3641 4243 4634 6289 7282 8486 12578 20029 25487 29701 40058 44023 46673 50974 59402 69179 80617 88046 93346 138358 140203 161234 220319 280406 326711 380551 440638 484253 564319 653422 761102 886787 968506 1128638 1404433 1542233 1773574 2663857 2808866 3084466 4186061 5327714 6207509 6629599 8372122 9831031 12415018 13259198 15448763 19662062 26684227 29302427 30897526 46407193 53368454 58604854 72925589 84983047 92814386 108141341 125962381 145851178 169966094 186789589 216282682 251924762 293526497 373579178 510479123 587052994 594881329 881736667 934813517 1020958246 1189762658 1385586191 1614677893 1763473334 1869627034 2054685479 2771172382 3229355786 4109370958 6543694619 9699103337 11302745251 13087389238 17761456823 19398206674 22605490502 28129388557 35522913646 56258777114 124330197761 196905719899 248660395522 309423274127 393811439798 534458382583 618846548254 1068916765166 2165962918889 3741208678081 4331925837778 5879042208413 7482417356162 11758084416826 41153295458891 82306590917782