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19859819112 = 2334741106787
BaseRepresentation
bin10010011111101111…
…001100101001101000
31220021001202100020000
4102133233030221220
5311133103202422
613042400503000
71302100451160
oct223757145150
956231670200
1019859819112
118471394051
123a2301aa60
131b46636173
14d658355a0
157b37cacac
hex49fbcca68

19859819112 has 160 divisors (see below), whose sum is σ = 65123593920. Its totient is φ = 5535786240.

The previous prime is 19859819069. The next prime is 19859819113. The reversal of 19859819112 is 21191895891.

It is a happy number.

It is a super-2 number, since 2×198598191122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19859819113) 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 39 ways as a sum of consecutive naturals, for example, 132583 + ... + 239369.

It is an arithmetic number, because the mean of its divisors is an integer number (407022462).

Almost surely, 219859819112 is an apocalyptic number.

19859819112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19859819112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32561796960).

19859819112 is an abundant number, since it is smaller than the sum of its proper divisors (45263774808).

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

19859819112 is a wasteful number, since it uses less digits than its factorization.

19859819112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106853 (or 106840 counting only the distinct ones).

The product of its digits is 466560, while the sum is 54.

The spelling of 19859819112 in words is "nineteen billion, eight hundred fifty-nine million, eight hundred nineteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 81 82 84 108 123 126 162 164 168 189 216 246 252 287 324 328 369 378 492 504 567 574 648 738 756 861 984 1107 1134 1148 1476 1512 1722 2214 2268 2296 2583 2952 3321 3444 4428 4536 5166 6642 6888 7749 8856 10332 13284 15498 20664 23247 26568 30996 46494 61992 92988 106787 185976 213574 320361 427148 640722 747509 854296 961083 1281444 1495018 1922166 2242527 2562888 2883249 2990036 3844332 4378267 4485054 5766498 5980072 6727581 7688664 8649747 8756534 8970108 11532996 13134801 13455162 17299494 17513068 17940216 20182743 23065992 26269602 26910324 30647869 34598988 35026136 39404403 40365486 52539204 53820648 60548229 61295738 69197976 78808806 80730972 91943607 105078408 118213209 121096458 122591476 157617612 161461944 183887214 236426418 242192916 245182952 275830821 315235224 354639627 367774428 472852836 484385832 551661642 709279254 735548856 827492463 945705672 1103323284 1418558508 1654984926 2206646568 2482477389 2837117016 3309969852 4964954778 6619939704 9929909556 19859819112