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66003678 = 232131272221
BaseRepresentation
bin1111101111001…
…0001011011110
311121012100000200
43323302023132
5113344104203
610314404330
71431010356
oct373621336
9147170020
1066003678
11342915a4
121a1306a6
131089c840
148aa1b66
155bdb9a3
hex3ef22de

66003678 has 48 divisors (see below), whose sum is σ = 155291136. Its totient is φ = 20139840.

The previous prime is 66003677. The next prime is 66003683. The reversal of 66003678 is 87630066.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66003677) 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 23 ways as a sum of consecutive naturals, for example, 28608 + ... + 30828.

It is an arithmetic number, because the mean of its divisors is an integer number (3235232).

Almost surely, 266003678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66003678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77645568).

66003678 is an abundant number, since it is smaller than the sum of its proper divisors (89287458).

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

66003678 is a wasteful number, since it uses less digits than its factorization.

66003678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66003678 is about 8124.2647667343. The cubic root of 66003678 is about 404.1315088323.

The spelling of 66003678 in words is "sixty-six million, three thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 762 1143 1651 2221 2286 3302 4442 4953 6663 9906 13326 14859 19989 28873 29718 39978 57746 86619 173238 259857 282067 519714 564134 846201 1692402 2538603 3666871 5077206 7333742 11000613 22001226 33001839 66003678