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66005454 = 2338328723
BaseRepresentation
bin1111101111001…
…0100111001110
311121012102110110
43323302213032
5113344133304
610314420450
71431015504
oct373624716
9147172413
1066005454
1134292969
121a131726
13108a05a8
148aa2674
155bdc289
hex3ef29ce

66005454 has 16 divisors (see below), whose sum is σ = 132360192. Its totient is φ = 21943608.

The previous prime is 66005453. The next prime is 66005461. The reversal of 66005454 is 45450066.

It is a super-2 number, since 2×660054542 = 8713439915492232, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66005453) 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 7 ways as a sum of consecutive naturals, for example, 12064 + ... + 16659.

It is an arithmetic number, because the mean of its divisors is an integer number (8272512).

Almost surely, 266005454 is an apocalyptic number.

66005454 is an abundant number, since it is smaller than the sum of its proper divisors (66354738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66005454 is a wasteful number, since it uses less digits than its factorization.

66005454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29111.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 66005454 is about 8124.3740681975. The cubic root of 66005454 is about 404.1351335349.

The spelling of 66005454 in words is "sixty-six million, five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 383 766 1149 2298 28723 57446 86169 172338 11000909 22001818 33002727 66005454