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450117491406 = 231146761723669
BaseRepresentation
bin1101000110011010001…
…01111101101011001110
31121000211110110201112020
412203031011331223032
524333320034211111
6542440415551010
744343221356212
oct6431505755316
91530743421466
10450117491406
11163991653490
127329b52b466
13335a48371bb
1417b00358942
15ba9674a906
hex68cd17dace

450117491406 has 64 divisors (see below), whose sum is σ = 985814219520. Its totient is φ = 135880828160.

The previous prime is 450117491363. The next prime is 450117491407. The reversal of 450117491406 is 604194711054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450117491407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19005340 + ... + 19029008.

It is an arithmetic number, because the mean of its divisors is an integer number (15403347180).

Almost surely, 2450117491406 is an apocalyptic number.

450117491406 is an abundant number, since it is smaller than the sum of its proper divisors (535696728114).

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

450117491406 is a wasteful number, since it uses less digits than its factorization.

450117491406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24769.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 450117491406 in words is "four hundred fifty billion, one hundred seventeen million, four hundred ninety-one thousand, four hundred six".

Divisors: 1 2 3 6 11 22 33 66 467 617 934 1234 1401 1851 2802 3702 5137 6787 10274 13574 15411 20361 23669 30822 40722 47338 71007 142014 260359 288139 520718 576278 781077 864417 1562154 1728834 3169529 6339058 9508587 11053423 14603773 19017174 22106846 29207546 33160269 43811319 66320538 87622638 121587653 160641503 243175306 321283006 364762959 481924509 729525918 963849018 6819961991 13639923982 20459885973 40919771946 75019581901 150039163802 225058745703 450117491406