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66435136 = 261377577
BaseRepresentation
bin1111110101101…
…1100001000000
311122000020212121
43331123201000
5114001411021
610331534024
71434455305
oct375334100
9148006777
1066435136
1134556779
121a2ba314
13109c1041
148b750ac
155c74741
hex3f5b840

66435136 has 28 divisors (see below), whose sum is σ = 132812028. Its totient is φ = 32970752.

The previous prime is 66435071. The next prime is 66435137. The reversal of 66435136 is 63153466.

66435136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 52417600 = 3744^2 + 7240^2 .

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (66435137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4980 + ... + 12556.

Almost surely, 266435136 is an apocalyptic number.

It is an amenable number.

66435136 is a deficient number, since it is larger than the sum of its proper divisors (66376892).

66435136 is a wasteful number, since it uses less digits than its factorization.

66435136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 7716 counting only the distinct ones).

The product of its digits is 38880, while the sum is 34.

The square root of 66435136 is about 8150.7751778589. The cubic root of 66435136 is about 405.0101831510.

The spelling of 66435136 in words is "sixty-six million, four hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 137 274 548 1096 2192 4384 7577 8768 15154 30308 60616 121232 242464 484928 1038049 2076098 4152196 8304392 16608784 33217568 66435136