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214665482106 = 232411972336337
BaseRepresentation
bin1100011111101100001…
…1110100111101111010
3202112002101222100220100
43013323003310331322
512004113330411411
6242341014140230
721336416330415
oct3077303647572
9675071870810
10214665482106
1183048082a49
123572b051676
1317320772c3a
14a565b08b7c
1558b5c0c456
hex31fb0f4f7a

214665482106 has 96 divisors (see below), whose sum is σ = 481002329808. Its totient is φ = 69146542080.

The previous prime is 214665482099. The next prime is 214665482173. The reversal of 214665482106 is 601284566412.

It is a happy number.

214665482106 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 65 + 482 + 106 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 66293375625 + 148372106481 = 257475^2 + 385191^2 .

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, 33871770 + ... + 33878106.

Almost surely, 2214665482106 is an apocalyptic number.

214665482106 is an abundant number, since it is smaller than the sum of its proper divisors (266336847702).

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

214665482106 is a wasteful number, since it uses less digits than its factorization.

214665482106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6816 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 214665482106 in words is "two hundred fourteen billion, six hundred sixty-five million, four hundred eighty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 41 82 123 197 233 246 369 394 466 591 699 738 1182 1398 1773 2097 3546 4194 6337 8077 9553 12674 16154 19011 19106 24231 28659 38022 45901 48462 57033 57318 72693 85977 91802 114066 137703 145386 171954 259817 275406 413109 519634 779451 826218 1248389 1476521 1558902 1881941 2338353 2496778 2953042 3745167 3763882 4429563 4676706 5645823 7490334 8859126 11235501 11291646 13288689 16937469 22471002 26577378 33874938 51183949 60537361 102367898 121074722 153551847 181612083 290874637 307103694 363224166 460655541 544836249 581749274 872623911 921311082 1089672498 1745247822 2617871733 5235743466 11925860117 23851720234 35777580351 71555160702 107332741053 214665482106