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666769068 = 223272431877
BaseRepresentation
bin100111101111100…
…001011010101100
31201110122101012200
4213233201122230
52331143102233
6150055101500
722344305100
oct4757413254
91643571180
10666769068
11312412519
12167371890
13a81a5914
14647a7900
153d80b313
hex27be16ac

666769068 has 108 divisors (see below), whose sum is σ = 1967408352. Its totient is φ = 189846720.

The previous prime is 666769013. The next prime is 666769069. The reversal of 666769068 is 860967666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (666769069) 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 35 ways as a sum of consecutive naturals, for example, 759846 + ... + 760722.

It is an arithmetic number, because the mean of its divisors is an integer number (18216744).

Almost surely, 2666769068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666769068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983704176).

666769068 is an abundant number, since it is smaller than the sum of its proper divisors (1300639284).

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

666769068 is a wasteful number, since it uses less digits than its factorization.

666769068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 666769068 is about 25821.8718918672. The cubic root of 666769068 is about 873.6251903486.

The spelling of 666769068 in words is "six hundred sixty-six million, seven hundred sixty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 431 441 588 862 877 882 1293 1724 1754 1764 2586 2631 3017 3508 3879 5172 5262 6034 6139 7758 7893 9051 10524 12068 12278 15516 15786 18102 18417 21119 24556 27153 31572 36204 36834 42238 42973 54306 55251 63357 73668 84476 85946 108612 110502 126714 128919 171892 190071 221004 253428 257838 377987 380142 386757 515676 755974 760284 773514 1133961 1511948 1547028 2267922 2645909 3401883 4535844 5291818 6803766 7937727 10583636 13607532 15875454 18521363 23813181 31750908 37042726 47626362 55564089 74085452 95252724 111128178 166692267 222256356 333384534 666769068