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83852465118096 = 24331673228136709
BaseRepresentation
bin10011000100001101101100…
…011001011001101110010000
3101222220012212110122011222210
4103010031230121121232100
541442314322032234341
6454201142442032120
723443066153250433
oct2304155431315620
9358805773564883
1083852465118096
11247996a3591344
1294a3204aa8640
1337a333b01685c
14169c6a3ab381a
159a62dd44ec16
hex4c436c659b90

83852465118096 has 160 divisors (see below), whose sum is σ = 224043105879040. Its totient is φ = 26996414054400.

The previous prime is 83852465118013. The next prime is 83852465118187. The reversal of 83852465118096 is 69081156425838.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2284229790 + ... + 2284266498.

It is an arithmetic number, because the mean of its divisors is an integer number (1400269411744).

Almost surely, 283852465118096 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 83852465118096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112021552939520).

83852465118096 is an abundant number, since it is smaller than the sum of its proper divisors (140190640760944).

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

83852465118096 is a wasteful number, since it uses less digits than its factorization.

83852465118096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39705 (or 39699 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 66.

The spelling of 83852465118096 in words is "eighty-three trillion, eight hundred fifty-two billion, four hundred sixty-five million, one hundred eighteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 673 744 1346 1488 2019 2281 2692 4038 4562 5384 6843 8076 9124 10768 13686 16152 18248 20863 27372 32304 36496 36709 41726 54744 62589 70711 73418 83452 109488 110127 125178 141422 146836 166904 212133 220254 250356 282844 293672 333808 424266 440508 500712 565688 587344 848532 881016 1001424 1131376 1137979 1535113 1697064 1762032 2275958 3070226 3394128 3413937 4551916 4605339 6140452 6827874 9103832 9210678 12280904 13655748 18207664 18421356 24561808 24705157 27311496 36842712 47588503 49410314 54622992 73685424 74115471 83733229 95177006 98820628 142765509 148230942 167466458 190354012 197641256 251199687 285531018 296461884 334932916 380708024 395282512 502399374 571062036 592923768 669865832 761416048 765859867 1004798748 1142124072 1185847536 1339731664 1531719734 2009597496 2284248144 2297579601 2595730099 3063439468 4019194992 4595159202 5191460198 6126878936 7787190297 9190318404 10382920396 12253757872 15574380594 18380636808 20765840792 31148761188 36761273616 41531681584 56352463117 62297522376 112704926234 124595044752 169057389351 225409852468 338114778702 450819704936 676229557404 901639409872 1352459114808 1746926356627 2704918229616 3493852713254 5240779069881 6987705426508 10481558139762 13975410853016 20963116279524 27950821706032 41926232559048 83852465118096