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66629141 = 416126641
BaseRepresentation
bin1111111000101…
…0111000010101
311122101002222222
43332022320111
5114024113031
610340032125
71436224025
oct376127025
9148332888
1066629141
1134679507
121a392645
1310a5b437
148bc5a85
155cb1e7b
hex3f8ae15

66629141 has 8 divisors (see below), whose sum is σ = 69375768. Its totient is φ = 63936000.

The previous prime is 66629117. The next prime is 66629243. The reversal of 66629141 is 14192666.

It can be written as a sum of positive squares in 4 ways, for example, as 13032100 + 53597041 = 3610^2 + 7321^2 .

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 66629141 - 26 = 66629077 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 (66629111) 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, 10820 + ... + 15821.

It is an arithmetic number, because the mean of its divisors is an integer number (8671971).

Almost surely, 266629141 is an apocalyptic number.

66629141 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

66629141 is a deficient number, since it is larger than the sum of its proper divisors (2746627).

66629141 is a wasteful number, since it uses less digits than its factorization.

66629141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26743.

The product of its digits is 15552, while the sum is 35.

The square root of 66629141 is about 8162.6675174235. The cubic root of 66629141 is about 405.4040391975.

The spelling of 66629141 in words is "sixty-six million, six hundred twenty-nine thousand, one hundred forty-one".

Divisors: 1 41 61 2501 26641 1092281 1625101 66629141