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13126112146446 = 23132931523335771
BaseRepresentation
bin1011111100000010100101…
…0000000111010000001110
31201110211210022202100110020
42333000221100013100032
53210024234202141241
643530015213323010
72523221203223625
oct277005120072016
951424708670406
1013126112146446
114200831122a12
12157bb18496466
13742a30245890
143354430106bc
1517b691028b66
hexbf02940740e

13126112146446 has 128 divisors (see below), whose sum is σ = 30196558909440. Its totient is φ = 3772916582400.

The previous prime is 13126112146421. The next prime is 13126112146493. The reversal of 13126112146446 is 64464121162131.

It is a junction number, because it is equal to n+sod(n) for n = 13126112146398 and 13126112146407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366930541 + ... + 366966311.

It is an arithmetic number, because the mean of its divisors is an integer number (235910616480).

Almost surely, 213126112146446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13126112146446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15098279454720).

13126112146446 is an abundant number, since it is smaller than the sum of its proper divisors (17070446762994).

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

13126112146446 is a wasteful number, since it uses less digits than its factorization.

13126112146446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41082.

The product of its digits is 165888, while the sum is 42.

The spelling of 13126112146446 in words is "thirteen trillion, one hundred twenty-six billion, one hundred twelve million, one hundred forty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 13 26 29 31 39 58 62 78 87 93 174 186 377 403 754 806 899 1131 1209 1798 2262 2418 2697 5233 5394 10466 11687 15699 23374 31398 35061 35771 68029 70122 71542 107313 136058 151757 162223 204087 214626 303514 324446 408174 455271 465023 486669 910542 930046 973338 1037359 1108901 1395069 1972841 2074718 2108899 2217802 2790138 3112077 3326703 3945682 4217798 4704467 5918523 6224154 6326697 6653406 9408934 11837046 12653394 13485667 14113401 14415713 26971334 28226802 28831426 32158129 40457001 43247139 61158071 64316258 80914002 86494278 96474387 122316142 183474213 187189643 192948774 366948426 374379286 418055677 561568929 836111354 1123137858 1254167031 2433465359 2508334062 4866930718 5428499647 5802878933 7300396077 10856999294 11605757866 14600792154 16285498941 17408636799 32570997882 34817273598 70570495411 75437426129 141140990822 150874852258 168283489057 211711486233 226312278387 336566978114 423422972466 452624556774 504850467171 1009700934342 2187685357741 4375370715482 6563056073223 13126112146446