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12005450541 = 3271712838737
BaseRepresentation
bin10110010111001010…
…01010001100101101
31010222200101002002100
423023211022030231
5144041343404131
65303142245313
7603335434350
oct131345121455
933880332070
1012005450541
115100844757
1223b0726839
1311943226b6
1481c63a297
154a3e9a7e6
hex2cb94a32d

12005450541 has 48 divisors (see below), whose sum is σ = 21003076224. Its totient is φ = 6450941952.

The previous prime is 12005450539. The next prime is 12005450549. The reversal of 12005450541 is 14505450021.

12005450541 is a `hidden beast` number, since 1 + 20 + 0 + 54 + 50 + 541 = 666.

12005450541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12005450541 - 21 = 12005450539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005450549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1369725 + ... + 1378461.

It is an arithmetic number, because the mean of its divisors is an integer number (437564088).

Almost surely, 212005450541 is an apocalyptic number.

It is an amenable number.

12005450541 is a deficient number, since it is larger than the sum of its proper divisors (8997625683).

12005450541 is a wasteful number, since it uses less digits than its factorization.

12005450541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 12005450541 in words is "twelve billion, five million, four hundred fifty thousand, five hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 1283 3849 8737 8981 11547 21811 26211 26943 61159 65433 78633 80829 148529 152677 183477 196299 445587 458031 550431 1039703 1336761 1374093 3119109 9357327 11209571 33628713 78466997 100886139 190562707 235400991 571688121 706202973 1333938949 1715064363 4001816847 12005450541