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66404316 = 223112192983
BaseRepresentation
bin1111110101001…
…1111111011100
311121221200121010
43331103333130
5113444414231
610331135220
71434266406
oct375237734
9147850533
1066404316
1134535600
121a2a4510
13109accc4
148b67b76
155c6a546
hex3f53fdc

66404316 has 144 divisors (see below), whose sum is σ = 187689600. Its totient is φ = 18184320.

The previous prime is 66404281. The next prime is 66404321. The reversal of 66404316 is 61340466.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800011 + ... + 800093.

It is an arithmetic number, because the mean of its divisors is an integer number (1303400).

Almost surely, 266404316 is an apocalyptic number.

66404316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66404316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93844800).

66404316 is an abundant number, since it is smaller than the sum of its proper divisors (121285284).

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

66404316 is a wasteful number, since it uses less digits than its factorization.

66404316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 66404316 is about 8148.8843408162. The cubic root of 66404316 is about 404.9475438844.

The spelling of 66404316 in words is "sixty-six million, four hundred four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 29 33 38 44 57 58 66 76 83 87 114 116 121 132 166 174 209 228 242 249 319 332 348 363 418 484 498 551 627 638 726 836 913 957 996 1102 1254 1276 1452 1577 1653 1826 1914 2204 2299 2407 2508 2739 3154 3306 3509 3652 3828 4598 4731 4814 5478 6061 6308 6612 6897 7018 7221 9196 9462 9628 10043 10527 10956 12122 13794 14036 14442 17347 18183 18924 20086 21054 24244 26477 27588 28884 30129 34694 36366 40172 42108 45733 52041 52954 60258 66671 69388 72732 79431 91466 104082 105908 120516 133342 137199 158862 182932 190817 200013 208164 266684 274398 291247 317724 381634 400026 503063 548796 572451 582494 763268 800052 873741 1006126 1144902 1164988 1509189 1747482 2012252 2289804 3018378 3494964 5533693 6036756 11067386 16601079 22134772 33202158 66404316