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66812941 = 13171492029
BaseRepresentation
bin1111111011011…
…1110000001101
311122201110010101
43332313300031
5114101003231
610344011101
71440620626
oct376676015
9148643111
1066812941
1134794608
121a460a91
1310ac3cb0
148c32a4d
155ceb661
hex3fb7c0d

66812941 has 16 divisors (see below), whose sum is σ = 76734000. Its totient is φ = 57627648.

The previous prime is 66812929. The next prime is 66812947. The reversal of 66812941 is 14921866.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 455625 + 66357316 = 675^2 + 8146^2 .

It is not a de Polignac number, because 66812941 - 29 = 66812429 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66812941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66812947) 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, 31915 + ... + 33943.

It is an arithmetic number, because the mean of its divisors is an integer number (4795875).

Almost surely, 266812941 is an apocalyptic number.

It is an amenable number.

66812941 is a deficient number, since it is larger than the sum of its proper divisors (9921059).

66812941 is a wasteful number, since it uses less digits than its factorization.

66812941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208.

The product of its digits is 20736, while the sum is 37.

The square root of 66812941 is about 8173.9183382268. The cubic root of 66812941 is about 405.7764730898.

The spelling of 66812941 in words is "sixty-six million, eight hundred twelve thousand, nine hundred forty-one".

Divisors: 1 13 17 149 221 1937 2029 2533 26377 32929 34493 302321 448409 3930173 5139457 66812941