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19744126818 = 231383113137197
BaseRepresentation
bin10010011000110101…
…110111011101100010
31212222000001120020020
4102120311313131202
5310413444024233
613023105054310
71266164210643
oct223065673542
955860046206
1019744126818
118412054789
1239b0327396
131b28689ba0
14d5431b6ca
157a85769b3
hex498d77762

19744126818 has 128 divisors (see below), whose sum is σ = 43957976832. Its totient is φ = 5875408896.

The previous prime is 19744126817. The next prime is 19744126819. The reversal of 19744126818 is 81862144791.

It is an interprime number because it is at equal distance from previous prime (19744126817) and next prime (19744126819).

It is not an unprimeable number, because it can be changed into a prime (19744126817) by changing a digit.

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, 100223896 + ... + 100224092.

It is an arithmetic number, because the mean of its divisors is an integer number (343421694).

Almost surely, 219744126818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19744126818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21978988416).

19744126818 is an abundant number, since it is smaller than the sum of its proper divisors (24213850014).

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

19744126818 is a wasteful number, since it uses less digits than its factorization.

19744126818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548.

The product of its digits is 774144, while the sum is 51.

The spelling of 19744126818 in words is "nineteen billion, seven hundred forty-four million, one hundred twenty-six thousand, eight hundred eighteen".

Divisors: 1 2 3 6 13 26 39 78 83 113 137 166 197 226 249 274 339 394 411 498 591 678 822 1079 1182 1469 1781 2158 2561 2938 3237 3562 4407 5122 5343 6474 7683 8814 9379 10686 11371 15366 15481 16351 18758 22261 22742 26989 28137 30962 32702 34113 44522 46443 49053 53978 56274 66783 68226 80967 92886 98106 121927 133566 147823 161934 201253 212563 243854 289393 295646 350857 365781 402506 425126 443469 578786 603759 637689 701714 731562 868179 886938 1052571 1207518 1275378 1284923 1736358 1847663 2105142 2240087 2569846 3049757 3695326 3854769 4480174 5542989 6099514 6720261 7709538 9149271 11085978 13440522 16703999 18298542 24019619 29121131 33407998 39646841 48039238 50111997 58242262 72058857 79293682 87363393 100223994 118940523 144117714 174726786 237881046 253129831 506259662 759389493 1518778986 3290687803 6581375606 9872063409 19744126818