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66064383 = 3371143739
BaseRepresentation
bin1111110000000…
…0111111111111
311121022102022000
43330000333333
5113403030013
610315553343
71431352350
oct374007777
9147272260
1066064383
1134323170
121a15b853
13108c1368
148ab9d27
155bee973
hex3f00fff

66064383 has 64 divisors (see below), whose sum is σ = 125030400. Its totient is φ = 33475680.

The previous prime is 66064381. The next prime is 66064393. The reversal of 66064383 is 38346066.

66064383 = 23 + 33 + ... + 1273.

66064383 is a `hidden beast` number, since 6 + 6 + 0 + 643 + 8 + 3 = 666.

It is a Cunningham number, because it is equal to 81282-1.

It is not a de Polignac number, because 66064383 - 21 = 66064381 is a prime.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66064381) 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, 89028 + ... + 89766.

It is an arithmetic number, because the mean of its divisors is an integer number (1953600).

Almost surely, 266064383 is an apocalyptic number.

66064383 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

66064383 is a deficient number, since it is larger than the sum of its proper divisors (58966017).

66064383 is a wasteful number, since it uses less digits than its factorization.

66064383 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 66064383 is about 8127.9999384843. Note that the first 4 decimals coincide. The cubic root of 66064383 is about 404.2553670106.

The spelling of 66064383 in words is "sixty-six million, sixty-four thousand, three hundred eighty-three".

Divisors: 1 3 7 9 11 21 27 33 43 63 77 99 129 189 231 297 301 387 473 693 739 903 1161 1419 2079 2217 2709 3311 4257 5173 6651 8127 8129 9933 12771 15519 19953 24387 29799 31777 46557 56903 73161 89397 95331 139671 170709 219483 222439 285993 349547 512127 667317 857979 1048641 1536381 2001951 2446829 3145923 6005853 7340487 9437769 22021461 66064383