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66428282466 = 2337313275881
BaseRepresentation
bin111101110111011011…
…110010011001100010
320100110111112101112000
4331313123302121202
52042021120014331
650303340344430
74541104041000
oct756733623142
9210414471460
1066428282466
11261990408a7
1210a5a845116
13635848a820
143302509a70
151adbc890e6
hexf776f2662

66428282466 has 128 divisors (see below), whose sum is σ = 185392704000. Its totient is φ = 17519483520.

The previous prime is 66428282447. The next prime is 66428282471.

66428282466 is a `hidden beast` number, since 66 + 42 + 8 + 2 + 82 + 466 = 666.

66428282466 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×664282824662 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102846 + ... + 378726.

It is an arithmetic number, because the mean of its divisors is an integer number (1448380500).

Almost surely, 266428282466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66428282466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92696352000).

66428282466 is an abundant number, since it is smaller than the sum of its proper divisors (118964421534).

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

66428282466 is a wasteful number, since it uses less digits than its factorization.

66428282466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275926 (or 275906 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 66428282466 in words is "sixty-six billion, four hundred twenty-eight million, two hundred eighty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 343 351 378 441 546 637 686 702 819 882 1029 1274 1323 1638 1911 2058 2457 2646 3087 3822 4459 4914 5733 6174 8918 9261 11466 13377 17199 18522 26754 34398 40131 80262 120393 240786 275881 551762 827643 1655286 1931167 2482929 3586453 3862334 4965858 5793501 7172906 7448787 10759359 11587002 13518169 14897574 17380503 21518718 25105171 27036338 32278077 34761006 40554507 50210342 52141509 64556154 75315513 81109014 94627183 96834231 104283018 121663521 150631026 175736197 189254366 193668462 225946539 243327042 283881549 351472394 364990563 451893078 527208591 567763098 677839617 729981126 851644647 1054417182 1230153379 1355679234 1581625773 1703289294 2460306758 2554933941 3163251546 3690460137 4744877319 5109867882 7380920274 9489754638 11071380411 22142760822 33214141233 66428282466