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66935349 = 3313190699
BaseRepresentation
bin1111111101010…
…1101000110101
311122221200001000
43333111220311
5114113412344
610350353513
71441640535
oct377255065
9148850030
1066935349
1134868578
121a4bb899
1310b37920
148c654c5
155d22a69
hex3fd5a35

66935349 has 16 divisors (see below), whose sum is σ = 106792000. Its totient is φ = 41190768.

The previous prime is 66935339. The next prime is 66935353. The reversal of 66935349 is 94353966.

It is a happy number.

It is not a de Polignac number, because 66935349 - 25 = 66935317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66935339) 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 15 ways as a sum of consecutive naturals, for example, 94999 + ... + 95700.

It is an arithmetic number, because the mean of its divisors is an integer number (6674500).

Almost surely, 266935349 is an apocalyptic number.

It is an amenable number.

66935349 is a deficient number, since it is larger than the sum of its proper divisors (39856651).

66935349 is a wasteful number, since it uses less digits than its factorization.

66935349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190721 (or 190715 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 66935349 is about 8181.4026303562. The cubic root of 66935349 is about 406.0241296214.

The spelling of 66935349 in words is "sixty-six million, nine hundred thirty-five thousand, three hundred forty-nine".

Divisors: 1 3 9 13 27 39 117 351 190699 572097 1716291 2479087 5148873 7437261 22311783 66935349