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426442122560399 = 1117193792423130699
BaseRepresentation
bin110000011110110001100101…
…1001110111000001110001111
32001220220110122201212022200012
41200331203023032320032033
5421343311431333413044
64110544450121023435
7155552266223146121
oct14075431316701617
92056813581768605
10426442122560399
111139720a7953570
123b9b3410024b7b
13153c442023b95a
147743ca1ca5211
153447b1184e59e
hex183d8cb3b838f

426442122560399 has 64 divisors (see below), whose sum is σ = 520086458880000. Its totient is φ = 344609597283840.

The previous prime is 426442122560341. The next prime is 426442122560401. The reversal of 426442122560399 is 993065221244624.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-426442122560399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426442122560339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3262714952 + ... + 3262845650.

It is an arithmetic number, because the mean of its divisors is an integer number (8126350920000).

Almost surely, 2426442122560399 is an apocalyptic number.

426442122560399 is a deficient number, since it is larger than the sum of its proper divisors (93644336319601).

426442122560399 is a wasteful number, since it uses less digits than its factorization.

426442122560399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133548.

The product of its (nonzero) digits is 44789760, while the sum is 59.

The spelling of 426442122560399 in words is "four hundred twenty-six trillion, four hundred forty-two billion, one hundred twenty-two million, five hundred sixty thousand, three hundred ninety-nine".

Divisors: 1 11 17 19 187 209 323 379 2423 3553 4169 6443 7201 26653 41191 46037 70873 79211 122417 130699 453101 506407 782629 918317 1346587 1437689 2221883 2483281 8608919 10101487 15611389 17448023 24440713 27316091 42215777 49534921 171725279 191928253 296616391 316683677 464373547 544884131 842093657 941163499 3262780301 3483520447 5383622509 6016989863 9263030227 10352798489 15999779483 59219847599 66186888493 102288827671 120023113583 175997574313 1125177104381 1320254249413 2040392930911 2280439158077 22444322240021 25084830738847 38767465687309 426442122560399