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66792929 = 721363121
BaseRepresentation
bin1111111011001…
…0110111100001
311122200102200012
43332302313201
5114044333204
610343334305
71440505400
oct376626741
9148612605
1066792929
1134780575
121a451395
1310ab7b58
148c29637
155ce576e
hex3fb2de1

66792929 has 6 divisors (see below), whose sum is σ = 77697954. Its totient is φ = 57251040.

The previous prime is 66792919. The next prime is 66792953. The reversal of 66792929 is 92929766.

It can be written as a sum of positive squares in only one way, i.e., 34245904 + 32547025 = 5852^2 + 5705^2 .

It is a de Polignac number, because none of the positive numbers 2k-66792929 is a prime.

It is a super-2 number, since 2×667929292 = 8922590728798082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66792919) 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 5 ways as a sum of consecutive naturals, for example, 681512 + ... + 681609.

It is an arithmetic number, because the mean of its divisors is an integer number (12949659).

Almost surely, 266792929 is an apocalyptic number.

It is an amenable number.

66792929 is a deficient number, since it is larger than the sum of its proper divisors (10905025).

66792929 is a wasteful number, since it uses less digits than its factorization.

66792929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363135 (or 1363128 counting only the distinct ones).

The product of its digits is 734832, while the sum is 50.

The square root of 66792929 is about 8172.6941090438. The cubic root of 66792929 is about 405.7359559407.

The spelling of 66792929 in words is "sixty-six million, seven hundred ninety-two thousand, nine hundred twenty-nine".

Divisors: 1 7 49 1363121 9541847 66792929