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2066001630 = 2357111515923
BaseRepresentation
bin111101100100100…
…1010111011011110
312022222112202102220
41323021022323132
513212344023010
6541001330210
7102124503240
oct17311127336
95288482386
102066001630
11970227670
12497a96966
1326c045c94
1415855a090
15c159d970
hex7b24aede

2066001630 has 128 divisors (see below), whose sum is σ = 6223896576. Its totient is φ = 426384000.

The previous prime is 2066001617. The next prime is 2066001793. The reversal of 2066001630 is 361006602.

It is a super-3 number, since 3×20660016303 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2066001630.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 345849 + ... + 351771.

It is an arithmetic number, because the mean of its divisors is an integer number (48624192).

Almost surely, 22066001630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066001630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111948288).

2066001630 is an abundant number, since it is smaller than the sum of its proper divisors (4157894946).

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

2066001630 is a wasteful number, since it uses less digits than its factorization.

2066001630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2066001630 is about 45453.2906399526. The cubic root of 2066001630 is about 1273.6308008335.

The spelling of 2066001630 in words is "two billion, sixty-six million, one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 151 154 165 210 231 302 330 385 453 462 755 770 906 1057 1155 1510 1661 2114 2265 2310 3171 3322 4530 4983 5285 5923 6342 8305 9966 10570 11627 11846 15855 16610 17769 23254 24915 29615 31710 34881 35538 41461 49830 58135 59230 65153 69762 82922 88845 116270 124383 130306 174405 177690 195459 207305 248766 325765 348810 390918 414610 456071 621915 651530 894373 912142 977295 1243830 1368213 1788746 1954590 2280355 2683119 2736426 4471865 4560710 5366238 6260611 6841065 8943730 9838103 12521222 13415595 13682130 18781833 19676206 26831190 29514309 31303055 37563666 49190515 59028618 62606110 68866721 93909165 98381030 137733442 147571545 187818330 206600163 295143090 344333605 413200326 688667210 1033000815 2066001630