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12136450814106 = 23174153200327337
BaseRepresentation
bin1011000010011011110011…
…0101101111000010011010
31120222020022010100122210020
42300212330311233002122
53042320422402022411
641451224124331310
72361554364545043
oct260467465570232
946866263318706
1012136450814106
11395a0490a7063
1214401609a3b36
136a0601b83588
142dd59bac78ca
15160a6c26b606
hexb09bcd6f09a

12136450814106 has 128 divisors (see below), whose sum is σ = 26838686520576. Its totient is φ = 3642607288320.

The previous prime is 12136450814083. The next prime is 12136450814107. The reversal of 12136450814106 is 60141805463121.

It is not an unprimeable number, because it can be changed into a prime (12136450814107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443943270 + ... + 443970606.

It is an arithmetic number, because the mean of its divisors is an integer number (209677238442).

Almost surely, 212136450814106 is an apocalyptic number.

12136450814106 is an abundant number, since it is smaller than the sum of its proper divisors (14702235706470).

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

12136450814106 is a wasteful number, since it uses less digits than its factorization.

12136450814106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29456.

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 12136450814106 in words is "twelve trillion, one hundred thirty-six billion, four hundred fifty million, eight hundred fourteen thousand, one hundred six".

Divisors: 1 2 3 6 17 34 41 51 53 82 102 106 123 159 246 318 697 901 1394 1802 2003 2091 2173 2703 4006 4182 4346 5406 6009 6519 12018 13038 27337 34051 36941 54674 68102 73882 82011 82123 102153 106159 110823 164022 164246 204306 212318 221646 246369 318477 464729 492738 636954 929458 1120817 1394187 1396091 1448861 1804703 2241634 2788374 2792182 2897722 3362451 3609406 4188273 4346583 4352519 5414109 6724902 8376546 8693166 8705038 10828218 13057557 19053889 24630637 26115114 38107778 49261274 54756011 57161667 59403301 73891911 73992823 109512022 114323334 118806602 147783822 147985646 164268033 178209903 221978469 328536066 356419806 443956938 930852187 1009856117 1861704374 2019712234 2244996451 2792556561 2902068583 3029568351 4489992902 5585113122 5804137166 6059136702 6734989353 8706205749 13469978706 17412411498 38164939667 49335165911 76329879334 98670331822 114494819001 118984811903 148005497733 228989638002 237969623806 296010995466 356954435709 713908871418 2022741802351 4045483604702 6068225407053 12136450814106