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19941764422146 = 23719251568317519
BaseRepresentation
bin1001000100011000011011…
…10010001101101000000010
32121121102011211221122001220
410202030031302031220002
510103211213143002041
6110225041535335510
74125513340542030
oct442141562155002
977542154848056
1019941764422146
1163992891544a6
1222a0a20681596
13b1866726ab28
144cd287c5d550
15248ae74aed66
hex12230dc8da02

19941764422146 has 128 divisors (see below), whose sum is σ = 48182567731200. Its totient is φ = 5375012904000.

The previous prime is 19941764422123. The next prime is 19941764422193. The reversal of 19941764422146 is 64122446714991.

It is a self number, because there is not a number n which added to its sum of digits gives 19941764422146.

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 63 ways as a sum of consecutive naturals, for example, 1138284775 + ... + 1138302293.

It is an arithmetic number, because the mean of its divisors is an integer number (376426310400).

Almost surely, 219941764422146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19941764422146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24091283865600).

19941764422146 is an abundant number, since it is smaller than the sum of its proper divisors (28240803309054).

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

19941764422146 is a wasteful number, since it uses less digits than its factorization.

19941764422146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23484.

The product of its digits is 20901888, while the sum is 60.

The spelling of 19941764422146 in words is "nineteen trillion, nine hundred forty-one billion, seven hundred sixty-four million, four hundred twenty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 251 266 399 502 753 798 1506 1757 3514 4769 5271 5683 9538 10542 11366 14307 17049 17519 28614 33383 34098 35038 39781 52557 66766 79562 100149 105114 107977 119343 122633 200298 215954 238686 245266 323931 332861 367899 647862 665722 735798 755839 998583 1426433 1511678 1997166 2267517 2330027 2852866 4279299 4397269 4535034 4660054 6990081 8558598 8794538 9985031 13191807 13980162 19970062 26383614 27102227 29955093 30780883 54204454 59910186 61561766 81306681 83548111 92342649 99560477 162613362 167096222 184685298 189715589 199120954 250644333 298681431 379431178 501288666 569146767 584836777 597362862 696923339 1138293534 1169673554 1393846678 1754510331 1891649063 2090770017 3509020662 3783298126 4181540034 5674947189 11349894378 13241543441 24989679727 26483086882 39724630323 49979359454 74969039181 79449260646 149938078362 174927758089 349855516178 474803914813 524783274267 949607829626 1049566548534 1424411744439 2848823488878 3323627403691 6647254807382 9970882211073 19941764422146