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56682005246490 = 23513155993225449
BaseRepresentation
bin11001110001101010011101…
…10010011011001000011010
321102200202011101220000120210
430320311032302123020122
524412134221320341430
6320315204223431550
714640065634034521
oct1470651662331032
9242622141800523
1056682005246490
11170737812a0518
126435428a555b6
132582123108460
14ddd5d08794b8
15684667ed12b0
hex338d4ec9b21a

56682005246490 has 64 divisors (see below), whose sum is σ = 146595155616000. Its totient is φ = 13943543806464.

The previous prime is 56682005246413. The next prime is 56682005246533. The reversal of 56682005246490 is 9464250028665.

56682005246490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 56682005246490.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 46004715 + ... + 47220734.

It is an arithmetic number, because the mean of its divisors is an integer number (2290549306500).

Almost surely, 256682005246490 is an apocalyptic number.

56682005246490 is an abundant number, since it is smaller than the sum of its proper divisors (89913150369510).

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

56682005246490 is a wasteful number, since it uses less digits than its factorization.

56682005246490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93227031.

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 56682005246490 in words is "fifty-six trillion, six hundred eighty-two billion, five million, two hundred forty-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1559 3118 4677 7795 9354 15590 20267 23385 40534 46770 60801 101335 121602 202670 304005 608010 93225449 186450898 279676347 466127245 559352694 932254490 1211930837 1398381735 2423861674 2796763470 3635792511 6059654185 7271585022 12119308370 18178962555 36357925110 145338474991 290676949982 436015424973 726692374955 872030849946 1453384749910 1889400174883 2180077124865 3778800349766 4360154249730 5668200524649 9447000874415 11336401049298 18894001748830 28341002623245 56682005246490