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470126666516672 = 26113331363155213
BaseRepresentation
bin110101011100100111110010…
…0111101010000100011000000
32021122120200002201021122002202
41222321033210331100203000
5443110023403112013142
64343513113053332332
7201011350026133424
oct15271174475204300
92248520081248082
10470126666516672
11126884666087550
12448898454970a8
13172429a6622629
148414375964b84
153954117ebe032
hex1ab93e4f508c0

470126666516672 has 112 divisors (see below), whose sum is σ = 1018321728152064. Its totient is φ = 213567083136000.

The previous prime is 470126666516623. The next prime is 470126666516693. The reversal of 470126666516672 is 276615666621074.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 470126666516599 and 470126666516608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8514754538 + ... + 8514809750.

It is an arithmetic number, because the mean of its divisors is an integer number (9092158287072).

Almost surely, 2470126666516672 is an apocalyptic number.

It is an amenable number.

470126666516672 is an abundant number, since it is smaller than the sum of its proper divisors (548195061635392).

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

470126666516672 is a wasteful number, since it uses less digits than its factorization.

470126666516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62198 (or 62188 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 65.

The spelling of 470126666516672 in words is "four hundred seventy trillion, one hundred twenty-six billion, six hundred sixty-six million, five hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 3331 3631 6662 7262 13324 14524 26648 29048 36641 39941 53296 55213 58096 73282 79882 106592 110426 116192 146564 159764 213184 220852 232384 293128 319528 441704 586256 607343 639056 883408 1172512 1214686 1278112 1766816 2345024 2429372 2556224 3533632 4858744 9717488 12094861 19434976 24189722 38869952 48379444 96758888 133043471 183914503 193517776 200478403 266086942 367829006 387035552 400956806 532173884 735658012 774071104 801913612 1064347768 1471316024 1603827224 2023059533 2128695536 2205262433 2942632048 3207654448 4046119066 4257391072 4410524866 5885264096 6415308896 8092238132 8514782144 8821049732 11770528192 12830617792 16184476264 17642099464 32368952528 35284198928 64737905056 70568397856 129475810112 141136795712 667793560393 1335587120786 2671174241572 5342348483144 7345729164323 10684696966288 14691458328646 21369393932576 29382916657292 42738787865152 58765833314584 117531666629168 235063333258336 470126666516672