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20144403198 = 23217312611123
BaseRepresentation
bin10010110000101100…
…110011001011111110
31220222220020201012100
4102300230303023332
5312223431400243
613130524245530
71312124413323
oct226054631376
956886221170
1020144403198
1185a7a99307
123aa23a08a6
131b9059720a
14d91554b4a
157cd7920d3
hex4b0b332fe

20144403198 has 144 divisors (see below), whose sum is σ = 48578529168. Its totient is φ = 6010329600.

The previous prime is 20144403163. The next prime is 20144403203. The reversal of 20144403198 is 89130444102.

It is a happy number.

20144403198 is a `hidden beast` number, since 20 + 1 + 4 + 440 + 3 + 198 = 666.

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 71 ways as a sum of consecutive naturals, for example, 17937465 + ... + 17938587.

It is an arithmetic number, because the mean of its divisors is an integer number (337350897).

Almost surely, 220144403198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144403198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24289264584).

20144403198 is an abundant number, since it is smaller than the sum of its proper divisors (28434125970).

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

20144403198 is a wasteful number, since it uses less digits than its factorization.

20144403198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20144403198 in words is "twenty billion, one hundred forty-four million, four hundred three thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 31 34 51 61 62 93 102 122 153 183 186 279 306 366 527 549 558 961 1037 1054 1098 1123 1581 1891 1922 2074 2246 2883 3111 3162 3369 3782 4743 5673 5766 6222 6738 8649 9333 9486 10107 11346 16337 17019 17298 18666 19091 20214 32147 32674 34038 34813 38182 49011 57273 58621 64294 68503 69626 96441 98022 104439 114546 117242 137006 147033 171819 175863 192882 205509 208878 289323 294066 313317 343638 351726 411018 527589 578646 591821 616527 626634 996557 1055178 1079203 1164551 1183642 1233054 1775463 1993114 2123593 2158406 2329102 2989671 3237609 3493653 3550926 4247186 5326389 5979342 6370779 6475218 6987306 8969013 9712827 10480959 10652778 12741558 17938026 18346451 19112337 19425654 20961918 36101081 36692902 38224674 55039353 65831383 72202162 108303243 110078706 131662766 165118059 197494149 216606486 324909729 330236118 394988298 592482447 649819458 1119133511 1184964894 2238267022 3357400533 6714801066 10072201599 20144403198