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66351141 = 3246315923
BaseRepresentation
bin1111110100011…
…1000000100101
311121211222122200
43331013000211
5113441214031
610330045113
71433655363
oct375070045
9147758580
1066351141
11344a965a
121a279799
1310991a3c
148b52633
155c598e6
hex3f47025

66351141 has 12 divisors (see below), whose sum is σ = 96053568. Its totient is φ = 44135784.

The previous prime is 66351139. The next prime is 66351149. The reversal of 66351141 is 14115366.

66351141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66351141 - 21 = 66351139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66351149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3795 + ... + 12128.

It is an arithmetic number, because the mean of its divisors is an integer number (8004464).

Almost surely, 266351141 is an apocalyptic number.

It is an amenable number.

66351141 is a deficient number, since it is larger than the sum of its proper divisors (29702427).

66351141 is a wasteful number, since it uses less digits than its factorization.

66351141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16392 (or 16389 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 66351141 is about 8145.6209708039. The cubic root of 66351141 is about 404.8394242257.

It can be divided in two parts, 6635 and 1141, that added together give a 5-th power (7776 = 65).

The spelling of 66351141 in words is "sixty-six million, three hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 3 9 463 1389 4167 15923 47769 143307 7372349 22117047 66351141