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415372727053 is a prime number
BaseRepresentation
bin1100000101101100010…
…01001101001100001101
31110201011001001211002001
412002312021031030031
523301140404231203
6514453011032301
742003215632144
oct6026611151415
91421131054061
10415372727053
111501820917a9
126860359b691
133022846a03b
1416165acc75b
15ac112d591d
hex60b624d30d

415372727053 has 2 divisors, whose sum is σ = 415372727054. Its totient is φ = 415372727052.

The previous prime is 415372727051. The next prime is 415372727083. The reversal of 415372727053 is 350727273514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222253787844 + 193118939209 = 471438^2 + 439453^2 .

It is a cyclic number.

It is not a de Polignac number, because 415372727053 - 21 = 415372727051 is a prime.

Together with 415372727051, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 415372726994 and 415372727012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415372727051) 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, 207686363526 + 207686363527.

It is an arithmetic number, because the mean of its divisors is an integer number (207686363527).

Almost surely, 2415372727053 is an apocalyptic number.

It is an amenable number.

415372727053 is a deficient number, since it is larger than the sum of its proper divisors (1).

415372727053 is an equidigital number, since it uses as much as digits as its factorization.

415372727053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1234800, while the sum is 46.

The spelling of 415372727053 in words is "four hundred fifteen billion, three hundred seventy-two million, seven hundred twenty-seven thousand, fifty-three".