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427603014468 = 223372312606509
BaseRepresentation
bin1100011100011110010…
…00000011001101000100
31111212201101111210101000
412032033020003031010
524001212332430333
6524234344333300
742615254436600
oct6161710031504
91455641453330
10427603014468
11155388832753
126aa57474230
13314272318b6
14169a6134500
15b1c9d94713
hex638f203344

427603014468 has 144 divisors (see below), whose sum is σ = 1331196787200. Its totient is φ = 118231202880.

The previous prime is 427603014427. The next prime is 427603014479. The reversal of 427603014468 is 864410306724.

427603014468 is a `hidden beast` number, since 4 + 27 + 603 + 0 + 14 + 4 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139203 + ... + 1467306.

Almost surely, 2427603014468 is an apocalyptic number.

It is an amenable number.

427603014468 is an abundant number, since it is smaller than the sum of its proper divisors (903593772732).

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

427603014468 is a wasteful number, since it uses less digits than its factorization.

427603014468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606567 (or 2606552 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 427603014468 in words is "four hundred twenty-seven billion, six hundred three million, fourteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 186 189 196 217 252 279 294 372 378 434 441 558 588 651 756 837 868 882 1116 1302 1323 1519 1674 1764 1953 2604 2646 3038 3348 3906 4557 5292 5859 6076 7812 9114 11718 13671 18228 23436 27342 41013 54684 82026 164052 2606509 5213018 7819527 10426036 15639054 18245563 23458581 31278108 36491126 46917162 54736689 70375743 72982252 80801779 93834324 109473378 127718941 140751486 161603558 164210067 218946756 242405337 255437882 281502972 323207116 328420134 383156823 484810674 492630201 510875764 565612453 656840268 727216011 766313646 969621348 985260402 1131224906 1149470469 1454432022 1532627292 1696837359 1970520804 2181648033 2262449812 2298940938 2908864044 3393674718 3448411407 3959287171 4363296066 4597881876 5090512077 6787349436 6896822814 7918574342 8726592132 10181024154 11877861513 13793645628 15271536231 15837148684 20362048308 23755723026 30543072462 35633584539 47511446052 61086144924 71267169078 106900753617 142534338156 213801507234 427603014468