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230536613349 = 36797465739
BaseRepresentation
bin1101011010110100001…
…1011000110111100101
3211001001111022101000000
43112231003120313211
512234114333111344
6253523531411513
722440624611160
oct3265503306745
9731044271000
10230536613349
11898519a9839
123881a2b3b99
131897c918563
14b22d8d2ad7
155ee4249a69
hex35ad0d8de5

230536613349 has 56 divisors (see below), whose sum is σ = 399098194880. Its totient is φ = 130376832768.

The previous prime is 230536613317. The next prime is 230536613429. The reversal of 230536613349 is 943316635032.

230536613349 is a `hidden beast` number, since 2 + 305 + 3 + 6 + 6 + 1 + 334 + 9 = 666.

It is not a de Polignac number, because 230536613349 - 25 = 230536613317 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230536613149) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 262122 + ... + 727860.

It is an arithmetic number, because the mean of its divisors is an integer number (7126753480).

Almost surely, 2230536613349 is an apocalyptic number.

It is an amenable number.

230536613349 is a deficient number, since it is larger than the sum of its proper divisors (168561581531).

230536613349 is an frugal number, since it uses more digits than its factorization.

230536613349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465861 (or 465846 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 230536613349 in words is "two hundred thirty billion, five hundred thirty-six million, six hundred thirteen thousand, three hundred forty-nine".

Divisors: 1 3 7 9 21 27 63 81 97 189 243 291 567 679 729 873 1701 2037 2619 5103 6111 7857 18333 23571 54999 70713 164997 465739 494991 1397217 3260173 4191651 9780519 12574953 29341557 37724859 45176683 88024671 113174577 135530049 264074013 316236781 339523731 406590147 792222039 948710343 1219770441 2376666117 2846131029 3659311323 8538393087 10977933969 25615179261 32933801907 76845537783 230536613349