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66038661 = 32131961487
BaseRepresentation
bin1111101111101…
…0101110000101
311121021010000100
43323322232011
5113401214121
610315234313
71431214353
oct373725605
9147233010
1066038661
1134305907
121a148999
13108b2740
148ab07d3
155be7026
hex3efab85

66038661 has 48 divisors (see below), whose sum is σ = 110131840. Its totient is φ = 37791360.

The previous prime is 66038633. The next prime is 66038663. The reversal of 66038661 is 16683066.

It is not a de Polignac number, because 66038661 - 211 = 66036613 is a prime.

It is a super-2 number, since 2×660386612 = 8722209493345842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66038663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135360 + ... + 135846.

Almost surely, 266038661 is an apocalyptic number.

66038661 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

66038661 is a deficient number, since it is larger than the sum of its proper divisors (44093179).

66038661 is a wasteful number, since it uses less digits than its factorization.

66038661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66038661 is about 8126.4174763545. The cubic root of 66038661 is about 404.2028949327.

The spelling of 66038661 in words is "sixty-six million, thirty-eight thousand, six hundred sixty-one".

Divisors: 1 3 9 13 19 39 57 61 117 171 183 247 487 549 741 793 1159 1461 2223 2379 3477 4383 6331 7137 9253 10431 15067 18993 27759 29707 45201 56979 83277 89121 120289 135603 267363 360867 386191 564433 1082601 1158573 1693299 3475719 5079897 7337629 22012887 66038661