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47213288261353 is a prime number
BaseRepresentation
bin10101011110000101100110…
…10001101000011011101001
320012011112202020101021220001
422233002303101220123221
522142020303243330403
6244225252445303001
712642022203444544
oct1257026321503351
9205145666337801
1047213288261353
1114053052414a95
125366302864a61
13204626a2319a6
14b931c755785b
1556d1d5282c1d
hex2af0b34686e9

47213288261353 has 2 divisors, whose sum is σ = 47213288261354. Its totient is φ = 47213288261352.

The previous prime is 47213288261267. The next prime is 47213288261423. The reversal of 47213288261353 is 35316288231274.

47213288261353 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., 41918010745744 + 5295277515609 = 6474412^2 + 2301147^2 .

It is a cyclic number.

It is not a de Polignac number, because 47213288261353 - 225 = 47213254706921 is a prime.

It is a super-2 number, since 2×472132882613532 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47213288261294 and 47213288261303.

It is not a weakly prime, because it can be changed into another prime (47213288661353) 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, 23606644130676 + 23606644130677.

It is an arithmetic number, because the mean of its divisors is an integer number (23606644130677).

Almost surely, 247213288261353 is an apocalyptic number.

It is an amenable number.

47213288261353 is a deficient number, since it is larger than the sum of its proper divisors (1).

47213288261353 is an equidigital number, since it uses as much as digits as its factorization.

47213288261353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11612160, while the sum is 55.

The spelling of 47213288261353 in words is "forty-seven trillion, two hundred thirteen billion, two hundred eighty-eight million, two hundred sixty-one thousand, three hundred fifty-three".