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2097504193 is a prime number
BaseRepresentation
bin111110100000101…
…0101111111000001
312102011211020211111
41331001111333001
513243430113233
6544044443321
7102656330401
oct17501257701
95364736744
102097504193
11986a93a44
124a6549541
13275725b55
1415c7da801
15c4222acd
hex7d055fc1

2097504193 has 2 divisors, whose sum is σ = 2097504194. Its totient is φ = 2097504192.

The previous prime is 2097504191. The next prime is 2097504197. The reversal of 2097504193 is 3914057902.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1626266929 + 471237264 = 40327^2 + 21708^2 .

It is a cyclic number.

It is not a de Polignac number, because 2097504193 - 21 = 2097504191 is a prime.

Together with 2097504191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2097504191) 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, 1048752096 + 1048752097.

It is an arithmetic number, because the mean of its divisors is an integer number (1048752097).

Almost surely, 22097504193 is an apocalyptic number.

It is an amenable number.

2097504193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2097504193 is an equidigital number, since it uses as much as digits as its factorization.

2097504193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 2097504193 is about 45798.5173668319. The cubic root of 2097504193 is about 1280.0716498385.

The spelling of 2097504193 in words is "two billion, ninety-seven million, five hundred four thousand, one hundred ninety-three".