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12082616488548 = 223223132710996633
BaseRepresentation
bin1010111111010011010000…
…0100000101001001100100
31120210002100022120120022200
42233310310010011021210
53040430144310113143
641410402152054500
72354640333410424
oct257646404051144
946702308516280
1012082616488548
113939233018511
121431837994430
1369850291b678
142dab3204c484
1515e46ae7a1d3
hexafd34105264

12082616488548 has 72 divisors (see below), whose sum is σ = 31894109415168. Its totient is φ = 3849524984448.

The previous prime is 12082616488519. The next prime is 12082616488559. The reversal of 12082616488548 is 84588461628021.

12082616488548 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 2 + 6 + 1 + 6 + 4 + 88 + 548 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4399561 + ... + 6597072.

Almost surely, 212082616488548 is an apocalyptic number.

12082616488548 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12082616488548 is an abundant number, since it is smaller than the sum of its proper divisors (19811492926620).

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

12082616488548 is a wasteful number, since it uses less digits than its factorization.

12082616488548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10997993 (or 10997988 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 12082616488548 in words is "twelve trillion, eighty-two billion, six hundred sixteen million, four hundred eighty-eight thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1327 2654 3981 5308 7962 11943 15924 23886 30521 47772 61042 91563 122084 183126 274689 366252 549378 1098756 10996633 21993266 32989899 43986532 65979798 98969697 131959596 197939394 252922559 395878788 505845118 758767677 1011690236 1517535354 2276303031 3035070708 4552606062 9105212124 14592531991 29185063982 43777595973 58370127964 87555191946 131332787919 175110383892 262665575838 335628235793 525331151676 671256471586 1006884707379 1342512943172 2013769414758 3020654122137 4027538829516 6041308244274 12082616488548