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49072127969 is a prime number
BaseRepresentation
bin101101101100111011…
…010011111111100001
311200122220212101111002
4231230323103333201
51300444431043334
634313214001345
73355024130324
oct555473237741
9150586771432
1049072127969
11198a1a34067
1296161a6255
134820767b17
1425373da7bb
1514231aeb7e
hexb6ced3fe1

49072127969 has 2 divisors, whose sum is σ = 49072127970. Its totient is φ = 49072127968.

The previous prime is 49072127941. The next prime is 49072128013. The reversal of 49072127969 is 96972127094.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47373699025 + 1698428944 = 217655^2 + 41212^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-49072127969 is a prime.

It is a super-2 number, since 2×490721279692 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (49072127369) by changing a digit.

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 as a sum of consecutive naturals, namely, 24536063984 + 24536063985.

It is an arithmetic number, because the mean of its divisors is an integer number (24536063985).

Almost surely, 249072127969 is an apocalyptic number.

It is an amenable number.

49072127969 is a deficient number, since it is larger than the sum of its proper divisors (1).

49072127969 is an equidigital number, since it uses as much as digits as its factorization.

49072127969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3429216, while the sum is 56.

The spelling of 49072127969 in words is "forty-nine billion, seventy-two million, one hundred twenty-seven thousand, nine hundred sixty-nine".