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12673441397052 = 22322952331877283
BaseRepresentation
bin1011100001101100001111…
…1110001111100100111100
31122212120100220212200102100
42320123003332033210330
53130120201444201202
642542033144225100
72445424456311522
oct270330376174474
948776326780370
1012673441397052
11404685a2aaa67
121508245a6b190
1370c13c752c47
1431b57d940312
1516e9ea58241c
hexb86c3f8f93c

12673441397052 has 144 divisors (see below), whose sum is σ = 33218665683840. Its totient is φ = 4069173677184.

The previous prime is 12673441397009. The next prime is 12673441397063. The reversal of 12673441397052 is 25079314437621.

12673441397052 is a `hidden beast` number, since 1 + 2 + 67 + 3 + 441 + 3 + 97 + 0 + 52 = 666.

It is a super-2 number, since 2×126734413970522 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12673441397052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1740136603 + ... + 1740143885.

It is an arithmetic number, because the mean of its divisors is an integer number (230685178360).

Almost surely, 212673441397052 is an apocalyptic number.

12673441397052 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 12673441397052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609332841920).

12673441397052 is an abundant number, since it is smaller than the sum of its proper divisors (20545224286788).

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

12673441397052 is a wasteful number, since it uses less digits than its factorization.

12673441397052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11032 (or 11027 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 12673441397052 in words is "twelve trillion, six hundred seventy-three billion, four hundred forty-one million, three hundred ninety-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 523 1044 1046 1569 2092 3138 3187 4707 6276 6374 7283 9414 9561 12748 14566 15167 18828 19122 21849 28683 29132 30334 38244 43698 45501 57366 60668 65547 87396 91002 92423 114732 131094 136503 182004 184846 211207 262188 273006 277269 369692 422414 546012 554538 633621 831807 844828 1109076 1267242 1663614 1666801 1900863 2534484 3327228 3333602 3801726 3809009 5000403 6667204 7603452 7618018 10000806 11427027 15001209 15236036 20001612 22854054 23210921 30002418 34281081 45708108 46421842 48337229 60004836 68562162 69632763 92843684 96674458 110461261 137124324 139265526 145011687 193348916 208898289 220922522 278531052 290023374 331383783 417796578 435035061 441845044 580046748 662767566 673116709 835593156 870070122 994151349 1325535132 1346233418 1740140244 1988302698 2019350127 2692466836 3976605396 4038700254 6058050381 8077400508 12116100762 12139311683 24232201524 24278623366 36417935049 48557246732 72835870098 109253805147 145671740196 218507610294 352040038807 437015220588 704080077614 1056120116421 1408160155228 2112240232842 3168360349263 4224480465684 6336720698526 12673441397052