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12196252640 = 2551113533053
BaseRepresentation
bin10110101101111010…
…00000101111100000
31011110222101211100202
423112331000233200
5144434220041030
65334120004332
7611143302605
oct132675005740
934428354322
1012196252640
115199515140
1224446006a8
1311c4a09250
14839b066ac
154b5ad9745
hex2d6f40be0

12196252640 has 96 divisors (see below), whose sum is σ = 33851061216. Its totient is φ = 4093839360.

The previous prime is 12196252637. The next prime is 12196252721. The reversal of 12196252640 is 4625269121.

It is a happy number.

12196252640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12196252594 and 12196252603.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 243647 + ... + 289406.

It is an arithmetic number, because the mean of its divisors is an integer number (352615221).

Almost surely, 212196252640 is an apocalyptic number.

12196252640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12196252640 is an abundant number, since it is smaller than the sum of its proper divisors (21654808576).

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

12196252640 is a wasteful number, since it uses less digits than its factorization.

12196252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533092 (or 533084 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 12196252640 in words is "twelve billion, one hundred ninety-six million, two hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 11440 22880 533053 1066106 2132212 2665265 4264424 5330530 5863583 6929689 8528848 10661060 11727166 13859378 17057696 21322120 23454332 27718756 29317915 34648445 42644240 46908664 55437512 58635830 69296890 76226579 85288480 93817328 110875024 117271660 138593780 152453158 187634656 221750048 234543320 277187560 304906316 381132895 469086640 554375120 609812632 762265790 938173280 1108750240 1219625264 1524531580 2439250528 3049063160 6098126320 12196252640