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66233129 = 296137441
BaseRepresentation
bin1111110010101…
…0001100101001
311121121222202212
43330222030221
5113423430004
610323334505
71432654334
oct374521451
9147558685
1066233129
1134428a26
121a221435
1310950101
148b2161b
155c3496e
hex3f2a329

66233129 has 8 divisors (see below), whose sum is σ = 69642120. Its totient is φ = 62899200.

The previous prime is 66233117. The next prime is 66233159. The reversal of 66233129 is 92133266.

It can be written as a sum of positive squares in 4 ways, for example, as 946729 + 65286400 = 973^2 + 8080^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66233129 - 24 = 66233113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66233095 and 66233104.

It is not an unprimeable number, because it can be changed into a prime (66233159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16952 + ... + 20489.

It is an arithmetic number, because the mean of its divisors is an integer number (8705265).

Almost surely, 266233129 is an apocalyptic number.

It is an amenable number.

66233129 is a deficient number, since it is larger than the sum of its proper divisors (3408991).

66233129 is a wasteful number, since it uses less digits than its factorization.

66233129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37531.

The product of its digits is 11664, while the sum is 32.

The square root of 66233129 is about 8138.3738547698. The cubic root of 66233129 is about 404.5992662714.

The spelling of 66233129 in words is "sixty-six million, two hundred thirty-three thousand, one hundred twenty-nine".

Divisors: 1 29 61 1769 37441 1085789 2283901 66233129