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248668667537 is a prime number
BaseRepresentation
bin1110011110010111001…
…1101011111010010001
3212202212010222011022112
43213211303223322101
513033233134330122
6310123052315105
723652145541003
oct3474563537221
9782763864275
10248668667537
1196506a86494
124023a772a95
131a5ac3035c4
14c06da96373
156705eda2e2
hex39e5cebe91

248668667537 has 2 divisors, whose sum is σ = 248668667538. Its totient is φ = 248668667536.

The previous prime is 248668667447. The next prime is 248668667539. The reversal of 248668667537 is 735766866842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169994588416 + 78674079121 = 412304^2 + 280489^2 .

It is a cyclic number.

It is not a de Polignac number, because 248668667537 - 28 = 248668667281 is a prime.

It is a super-2 number, since 2×2486686675372 (a number of 24 digits) contains 22 as substring.

Together with 248668667539, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (248668667539) 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, 124334333768 + 124334333769.

It is an arithmetic number, because the mean of its divisors is an integer number (124334333769).

Almost surely, 2248668667537 is an apocalyptic number.

It is an amenable number.

248668667537 is a deficient number, since it is larger than the sum of its proper divisors (1).

248668667537 is an equidigital number, since it uses as much as digits as its factorization.

248668667537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 487710720, while the sum is 68.

The spelling of 248668667537 in words is "two hundred forty-eight billion, six hundred sixty-eight million, six hundred sixty-seven thousand, five hundred thirty-seven".