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12191683944 = 23311196736277
BaseRepresentation
bin10110101101010111…
…00101010101101000
31011110122210201021210
423112223211111220
5144432032341234
65333434033120
7611056414026
oct132653452550
934418721253
1012191683944
115196984660
122442b787a0
1311c3a9988b
14839277716
154b54d5be9
hex2d6ae5568

12191683944 has 128 divisors (see below), whose sum is σ = 35523417600. Its totient is φ = 3447671040.

The previous prime is 12191683901. The next prime is 12191683961. The reversal of 12191683944 is 44938619121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12191683893 and 12191683902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317934 + ... + 354210.

It is an arithmetic number, because the mean of its divisors is an integer number (277526700).

Almost surely, 212191683944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12191683944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17761708800).

12191683944 is an abundant number, since it is smaller than the sum of its proper divisors (23331733656).

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

12191683944 is a wasteful number, since it uses less digits than its factorization.

12191683944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36383 (or 36379 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The spelling of 12191683944 in words is "twelve billion, one hundred ninety-one million, six hundred eighty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 67 76 88 114 132 134 152 201 209 228 264 268 402 418 456 536 627 737 804 836 1254 1273 1474 1608 1672 2211 2508 2546 2948 3819 4422 5016 5092 5896 7638 8844 10184 14003 15276 17688 28006 30552 36277 42009 56012 72554 84018 108831 112024 145108 168036 217662 290216 336072 399047 435324 689263 798094 870648 1197141 1378526 1596188 2067789 2394282 2430559 2757052 3192376 4135578 4788564 4861118 5514104 7291677 7581893 8271156 9577128 9722236 14583354 15163786 16542312 19444472 22745679 26736149 29166708 30327572 45491358 46180621 53472298 58333416 60655144 80208447 90982716 92361242 106944596 138541863 160416894 181965432 184722484 213889192 277083726 320833788 369444968 507986831 554167452 641667576 1015973662 1108334904 1523960493 2031947324 3047920986 4063894648 6095841972 12191683944