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193516421796324 = 22321122107732
BaseRepresentation
bin101100000000000010001101…
…100101000101000111100100
3221101011222201011101111000100
4230000002031211011013210
5200331033112434440244
61523324114503144100
755522046222016114
oct5400021545050744
9841158634344010
10193516421796324
1156729943161100
1219854942145030
1383c969c06aa83
1435b035d9bd044
151758c16035b69
hexb0008d9451e4

193516421796324 has 81 divisors (see below), whose sum is σ = 537681442871209. Its totient is φ = 58641061717920.

The previous prime is 193516421796317. The next prime is 193516421796443. The reversal of 193516421796324 is 423697124615391.

The square root of 193516421796324 is 13911018.

It is a perfect power (a square), and thus also a powerful number.

193516421796324 is a `hidden beast` number, since 1 + 9 + 3 + 5 + 1 + 6 + 4 + 217 + 96 + 324 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23522597000100 + 169993824796224 = 4850010^2 + 13038168^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 918021802 + ... + 918232574.

Almost surely, 2193516421796324 is an apocalyptic number.

193516421796324 is the 13911018-th square number.

It is an amenable number.

193516421796324 is an abundant number, since it is smaller than the sum of its proper divisors (344165021074885).

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

193516421796324 is an frugal number, since it uses more digits than its factorization.

193516421796324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421578 (or 210789 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 193516421796324 in words is "one hundred ninety-three trillion, five hundred sixteen billion, four hundred twenty-one million, seven hundred ninety-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 210773 421546 632319 843092 1264638 1896957 2318503 2529276 3793914 4637006 6955509 7587828 9274012 13911018 20866527 25503533 27822036 41733054 51007066 76510599 83466108 102014132 153021198 229531797 306042396 459063594 918127188 44425257529 88850515058 133275772587 177701030116 266551545174 399827317761 488677832819 533103090348 799654635522 977355665638 1466033498457 1599309271044 1954711331276 2932066996914 4398100495371 5375456161009 5864133993828 8796200990742 10750912322018 16126368483027 17592401981484 21501824644036 32252736966054 48379105449081 64505473932108 96758210898162 193516421796324