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66444931 = 73307631
BaseRepresentation
bin1111110101110…
…1111010000011
311122000202022101
43331131322003
5114002214211
610332051231
71434526000
oct375357203
9148022271
1066444931
1134563073
121a303b17
13109c5637
148b788a7
155c775c1
hex3f5de83

66444931 has 16 divisors (see below), whose sum is σ = 77862400. Its totient is φ = 56677320.

The previous prime is 66444929. The next prime is 66444949. The reversal of 66444931 is 13944466.

It is not a de Polignac number, because 66444931 - 21 = 66444929 is a prime.

It is a super-2 number, since 2×664449312 = 8829857711189522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66444031) 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, 104986 + ... + 105616.

It is an arithmetic number, because the mean of its divisors is an integer number (4866400).

Almost surely, 266444931 is an apocalyptic number.

66444931 is a deficient number, since it is larger than the sum of its proper divisors (11417469).

66444931 is an equidigital number, since it uses as much as digits as its factorization.

66444931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 945 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 66444931 is about 8151.3760188081. The cubic root of 66444931 is about 405.0300866741.

The spelling of 66444931 in words is "sixty-six million, four hundred forty-four thousand, nine hundred thirty-one".

Divisors: 1 7 49 307 343 631 2149 4417 15043 30919 105301 193717 216433 1356019 9492133 66444931