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66312169 = 7115316249
BaseRepresentation
bin1111110011110…
…1011111101001
311121210000012021
43330331133221
5113433442134
610325144441
71433433640
oct374753751
9147700167
1066312169
1134482350
121a25b121
131097a091
148b42357
155c4d0b4
hex3f3d7e9

66312169 has 16 divisors (see below), whose sum is σ = 84240000. Its totient is φ = 50693760.

The previous prime is 66312157. The next prime is 66312179. The reversal of 66312169 is 96121366.

It is a cyclic number.

It is not a de Polignac number, because 66312169 - 25 = 66312137 is a prime.

It is a super-2 number, since 2×663121692 = 8794607514969122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66312119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4044 + ... + 12205.

It is an arithmetic number, because the mean of its divisors is an integer number (5265000).

Almost surely, 266312169 is an apocalyptic number.

It is an amenable number.

66312169 is a deficient number, since it is larger than the sum of its proper divisors (17927831).

66312169 is a wasteful number, since it uses less digits than its factorization.

66312169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16320.

The product of its digits is 11664, while the sum is 34.

The square root of 66312169 is about 8143.2284138418. The cubic root of 66312169 is about 404.7601465534.

The spelling of 66312169 in words is "sixty-six million, three hundred twelve thousand, one hundred sixty-nine".

Divisors: 1 7 11 53 77 371 583 4081 16249 113743 178739 861197 1251173 6028379 9473167 66312169