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2737488097 is a prime number
BaseRepresentation
bin1010001100101010…
…1100000011100001
321001210001210201001
42203022230003201
521101244104342
61131345512001
7124560156601
oct24312540341
97053053631
102737488097
111185271363
12644942601
133481b0b56
141bd7d0c01
151104dc8b7
hexa32ac0e1

2737488097 has 2 divisors, whose sum is σ = 2737488098. Its totient is φ = 2737488096.

The previous prime is 2737488073. The next prime is 2737488109. The reversal of 2737488097 is 7908847372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2468003041 + 269485056 = 49679^2 + 16416^2 .

It is a cyclic number.

It is not a de Polignac number, because 2737488097 - 27 = 2737487969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2737488007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1368744048 + 1368744049.

It is an arithmetic number, because the mean of its divisors is an integer number (1368744049).

Almost surely, 22737488097 is an apocalyptic number.

It is an amenable number.

2737488097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2737488097 is an equidigital number, since it uses as much as digits as its factorization.

2737488097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4741632, while the sum is 55.

The square root of 2737488097 is about 52321.0100915493. The cubic root of 2737488097 is about 1398.8916562880.

The spelling of 2737488097 in words is "two billion, seven hundred thirty-seven million, four hundred eighty-eight thousand, ninety-seven".