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66109050 = 23252731677
BaseRepresentation
bin1111110000101…
…1111001111010
311121101200120100
43330023321322
5113410442200
610320540230
71431626520
oct374137172
9147350510
1066109050
1134353787
121a181676
13109087a7
148acc310
155c0cd00
hex3f0be7a

66109050 has 144 divisors (see below), whose sum is σ = 209843712. Its totient is φ = 14601600.

The previous prime is 66109031. The next prime is 66109079. The reversal of 66109050 is 5090166.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 97312 + ... + 97988.

It is an arithmetic number, because the mean of its divisors is an integer number (1457248).

Almost surely, 266109050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66109050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104921856).

66109050 is an abundant number, since it is smaller than the sum of its proper divisors (143734662).

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

66109050 is a wasteful number, since it uses less digits than its factorization.

66109050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 66109050 is about 8130.7471981362. The cubic root of 66109050 is about 404.3464539458.

The spelling of 66109050 in words is "sixty-six million, one hundred nine thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 31 35 42 45 50 62 63 70 75 90 93 105 126 150 155 175 186 210 217 225 279 310 315 350 434 450 465 525 558 630 651 677 775 930 1050 1085 1302 1354 1395 1550 1575 1953 2031 2170 2325 2790 3150 3255 3385 3906 4062 4650 4739 5425 6093 6510 6770 6975 9478 9765 10155 10850 12186 13950 14217 16275 16925 19530 20310 20987 23695 28434 30465 32550 33850 41974 42651 47390 48825 50775 60930 62961 71085 85302 97650 101550 104935 118475 125922 142170 146909 152325 188883 209870 213255 236950 293818 304650 314805 355425 377766 426510 440727 524675 629610 710850 734545 881454 944415 1049350 1066275 1322181 1469090 1574025 1888830 2132550 2203635 2644362 3148050 3672725 4407270 4722075 6610905 7345450 9444150 11018175 13221810 22036350 33054525 66109050