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48206824201 is a prime number
BaseRepresentation
bin101100111001010110…
…011100001100001001
311121102121122101212101
4230321112130030021
51242211421333301
634051303313401
73324416146654
oct547126341411
9147377571771
1048206824201
111949854a588
12941444b861
1347133cbb63
14249451289b
1513c2238701
hexb3959c309

48206824201 has 2 divisors, whose sum is σ = 48206824202. Its totient is φ = 48206824200.

The previous prime is 48206824181. The next prime is 48206824223. The reversal of 48206824201 is 10242860284.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47923777225 + 283046976 = 218915^2 + 16824^2 .

It is a cyclic number.

It is not a de Polignac number, because 48206824201 - 215 = 48206791433 is a prime.

It is a super-2 number, since 2×482068242012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (48206824261) 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, 24103412100 + 24103412101.

It is an arithmetic number, because the mean of its divisors is an integer number (24103412101).

Almost surely, 248206824201 is an apocalyptic number.

It is an amenable number.

48206824201 is a deficient number, since it is larger than the sum of its proper divisors (1).

48206824201 is an equidigital number, since it uses as much as digits as its factorization.

48206824201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 48206824201 in words is "forty-eight billion, two hundred six million, eight hundred twenty-four thousand, two hundred one".