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81098822525424 = 243111272503348313
BaseRepresentation
bin10010011100001001001010…
…100000100010000111110000
3101122010222020101021212220020
4102130021022200202013300
541112210342031303144
6444252141300443440
723040124265354364
oct2234111240420760
9348128211255806
1081098822525424
11239278aa08a050
1291195b36a9580
133633780a01a72
1416052bd9132a4
15959876d4d419
hex49c24a8221f0

81098822525424 has 160 divisors (see below), whose sum is σ = 230364813041664. Its totient is φ = 24380415037440.

The previous prime is 81098822525393. The next prime is 81098822525473. The reversal of 81098822525424 is 42452522889018.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1678588692 + ... + 1678637004.

Almost surely, 281098822525424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81098822525424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115182406520832).

81098822525424 is an abundant number, since it is smaller than the sum of its proper divisors (149265990516240).

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

81098822525424 is a wasteful number, since it uses less digits than its factorization.

81098822525424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73495 (or 73489 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 60.

The spelling of 81098822525424 in words is "eighty-one trillion, ninety-eight billion, eight hundred twenty-two million, five hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 127 132 176 254 264 381 508 528 762 1016 1397 1524 2032 2794 3048 4191 5588 6096 8382 11176 16764 22352 25033 33528 48313 50066 67056 75099 96626 100132 144939 150198 193252 200264 275363 289878 300396 386504 400528 531443 550726 579756 600792 773008 826089 1062886 1101452 1159512 1201584 1594329 1652178 2125772 2202904 2319024 3179191 3188658 3304356 4251544 4405808 6135751 6358382 6377316 6608712 8503088 9537573 12271502 12716764 12754632 13217424 18407253 19075146 24543004 25433528 25509264 34971101 36814506 38150292 49086008 50867056 67493261 69942202 73629012 76300584 98172016 104913303 134986522 139884404 147258024 152601168 202479783 209826606 269973044 279768808 294516048 404959566 419653212 539946088 559537616 809919132 839306424 1079892176 1209419329 1619838264 1678612848 2418838658 3239676528 3628257987 4837677316 7256515974 9675354632 13303612619 14513031948 19350709264 26607225238 29026063896 39910837857 53214450476 58052127792 79821675714 106428900952 153596254783 159643351428 212857801904 307192509566 319286702856 460788764349 614385019132 638573405712 921577528698 1228770038264 1689558802613 1843155057396 2457540076528 3379117605226 3686310114792 5068676407839 6758235210452 7372620229584 10137352815678 13516470420904 20274705631356 27032940841808 40549411262712 81098822525424