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242633821249 is a prime number
BaseRepresentation
bin1110000111111000011…
…0100100110001000001
3212012021120100012112001
43201332012210301001
512433403224234444
6303244152504001
723346456310651
oct3417606446101
9765246305461
10242633821249
119399a515116
123b0356ab001
1319b59c56a41
14ba5a3b6361
1564a12bc8d4
hex387e1a4c41

242633821249 has 2 divisors, whose sum is σ = 242633821250. Its totient is φ = 242633821248.

The previous prime is 242633821217. The next prime is 242633821253. The reversal of 242633821249 is 942128336242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214466241025 + 28167580224 = 463105^2 + 167832^2 .

It is a cyclic number.

It is not a de Polignac number, because 242633821249 - 25 = 242633821217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242633821199 and 242633821208.

It is not a weakly prime, because it can be changed into another prime (242633821259) 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 as a sum of consecutive naturals, namely, 121316910624 + 121316910625.

It is an arithmetic number, because the mean of its divisors is an integer number (121316910625).

Almost surely, 2242633821249 is an apocalyptic number.

It is an amenable number.

242633821249 is a deficient number, since it is larger than the sum of its proper divisors (1).

242633821249 is an equidigital number, since it uses as much as digits as its factorization.

242633821249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 995328, while the sum is 46.

The spelling of 242633821249 in words is "two hundred forty-two billion, six hundred thirty-three million, eight hundred twenty-one thousand, two hundred forty-nine".