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12354405664434 = 2343509227341389
BaseRepresentation
bin1011001111000111101111…
…1101100000011010110010
31121202001212202212020121020
42303301323331200122302
53104403310322230214
642135311405240310
72413401455320341
oct263617375403262
947661782766536
1012354405664434
113a33523a12039
121476449563096
136b8027c55532
14309d56601b58
15166576b2b4a9
hexb3c7bf606b2

12354405664434 has 64 divisors (see below), whose sum is σ = 25344865180800. Its totient is φ = 4012599048192.

The previous prime is 12354405664421. The next prime is 12354405664481. The reversal of 12354405664434 is 43446650445321.

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, 298474212 + ... + 298515600.

It is an arithmetic number, because the mean of its divisors is an integer number (396013518450).

Almost surely, 212354405664434 is an apocalyptic number.

12354405664434 is an abundant number, since it is smaller than the sum of its proper divisors (12990459516366).

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

12354405664434 is a wasteful number, since it uses less digits than its factorization.

12354405664434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44219.

The product of its (nonzero) digits is 16588800, while the sum is 51.

The spelling of 12354405664434 in words is "twelve trillion, three hundred fifty-four billion, four hundred five million, six hundred sixty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 43 86 129 258 509 1018 1527 2273 3054 4546 6819 13638 21887 41389 43774 65661 82778 97739 124167 131322 195478 248334 293217 586434 1156957 1779727 2313914 3470871 3559454 5339181 6941742 10678362 21067001 42134002 49749151 63201003 94077197 99498302 126402006 149247453 188154394 282231591 298494906 564463182 905881043 1811762086 2717643129 4045319471 5435286258 8090638942 12135958413 24271916826 47885293273 95770586546 143655879819 287311759638 2059067610739 4118135221478 6177202832217 12354405664434