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47587344380353 is a prime number
BaseRepresentation
bin10101101000111110010101…
…10000011111000111000001
320020111022020211221221202101
422310133022300133013001
522214132340130132403
6245113154010150401
713011033520134541
oct1264371260370701
9206438224857671
1047587344380353
1114187752337618
1254068b5422401
13207260c917c4b
14ba734dc73321
15577cc91b071d
hex2b47cac1f1c1

47587344380353 has 2 divisors, whose sum is σ = 47587344380354. Its totient is φ = 47587344380352.

The previous prime is 47587344380299. The next prime is 47587344380377. The reversal of 47587344380353 is 35308344378574.

47587344380353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32205942800784 + 15381401579569 = 5675028^2 + 3921913^2 .

It is a cyclic number.

It is not a de Polignac number, because 47587344380353 - 229 = 47586807509441 is a prime.

It is not a weakly prime, because it can be changed into another prime (47587344380153) 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, 23793672190176 + 23793672190177.

It is an arithmetic number, because the mean of its divisors is an integer number (23793672190177).

Almost surely, 247587344380353 is an apocalyptic number.

It is an amenable number.

47587344380353 is a deficient number, since it is larger than the sum of its proper divisors (1).

47587344380353 is an equidigital number, since it uses as much as digits as its factorization.

47587344380353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 406425600, while the sum is 64.

The spelling of 47587344380353 in words is "forty-seven trillion, five hundred eighty-seven billion, three hundred forty-four million, three hundred eighty thousand, three hundred fifty-three".