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47248314461641 is a prime number
BaseRepresentation
bin10101011111000110110101…
…11111111110110111001001
320012021220011021100121212101
422233203122333332313021
522143104022000233031
6244253324230313401
712644402164312546
oct1257433277766711
9205256137317771
1047248314461641
1114066996830757
125371058ab8861
13204965c9c9ca7
14b94b8b323bcd
1556e08528b361
hex2af8daffedc9

47248314461641 has 2 divisors, whose sum is σ = 47248314461642. Its totient is φ = 47248314461640.

The previous prime is 47248314461639. The next prime is 47248314461657. The reversal of 47248314461641 is 14616441384274.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46385580004416 + 862734457225 = 6810696^2 + 928835^2 .

It is a cyclic number.

It is not a de Polignac number, because 47248314461641 - 21 = 47248314461639 is a prime.

It is a super-2 number, since 2×472483144616412 (a number of 28 digits) contains 22 as substring.

Together with 47248314461639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (47248314461941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23624157230820 + 23624157230821.

It is an arithmetic number, because the mean of its divisors is an integer number (23624157230821).

Almost surely, 247248314461641 is an apocalyptic number.

It is an amenable number.

47248314461641 is a deficient number, since it is larger than the sum of its proper divisors (1).

47248314461641 is an equidigital number, since it uses as much as digits as its factorization.

47248314461641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12386304, while the sum is 55.

The spelling of 47248314461641 in words is "forty-seven trillion, two hundred forty-eight billion, three hundred fourteen million, four hundred sixty-one thousand, six hundred forty-one".