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12642473267433 = 325333617885789
BaseRepresentation
bin1011011111111000111000…
…1000001101000011101001
31122202121102200212200212200
42313332032020031003221
53124113241124024213
642515512205530413
72443250162460402
oct267761610150351
948677380780780
1012642473267433
114034708630909
121502242873a09
1370924592c0a9
14319c82ac29a9
1516dcd6970273
hexb7f8e20d0e9

12642473267433 has 24 divisors (see below), whose sum is σ = 18611442237960. Its totient is φ = 8266829276160.

The previous prime is 12642473267399. The next prime is 12642473267449. The reversal of 12642473267433 is 33476237424621.

12642473267433 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 247 + 326 + 74 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2458664768169 + 10183808499264 = 1568013^2 + 3191208^2 .

It is not a de Polignac number, because 12642473267433 - 29 = 12642473266921 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12642473267433.

It is not an unprimeable number, because it can be changed into a prime (12642473267233) 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 23 ways as a sum of consecutive naturals, for example, 2339698 + ... + 5546091.

It is an arithmetic number, because the mean of its divisors is an integer number (775476759915).

Almost surely, 212642473267433 is an apocalyptic number.

It is an amenable number.

12642473267433 is a deficient number, since it is larger than the sum of its proper divisors (5968968970527).

12642473267433 is a wasteful number, since it uses less digits than its factorization.

12642473267433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7889209 (or 7889206 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 54.

The spelling of 12642473267433 in words is "twelve trillion, six hundred forty-two billion, four hundred seventy-three million, two hundred sixty-seven thousand, four hundred thirty-three".

Divisors: 1 3 9 53 159 477 3361 10083 30249 178133 534399 1603197 7885789 23657367 70972101 417946817 1253840451 3761521353 26504136829 79512410487 238537231461 1404719251937 4214157755811 12642473267433