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47713013 is a prime number
BaseRepresentation
bin1011011000000…
…0101011110101
310022210001221122
42312000223311
544203304023
64422353325
71116360665
oct266005365
9108701848
1047713013
1124a29547
1213b8b845
139b6746a
1464a01a5
1542c72c8
hex2d80af5

47713013 has 2 divisors, whose sum is σ = 47713014. Its totient is φ = 47713012.

The previous prime is 47712997. The next prime is 47713021. The reversal of 47713013 is 31031774.

47713013 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., 43784689 + 3928324 = 6617^2 + 1982^2 .

It is a cyclic number.

It is not a de Polignac number, because 47713013 - 24 = 47712997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47713093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23856506 + 23856507.

It is an arithmetic number, because the mean of its divisors is an integer number (23856507).

Almost surely, 247713013 is an apocalyptic number.

It is an amenable number.

47713013 is a deficient number, since it is larger than the sum of its proper divisors (1).

47713013 is an equidigital number, since it uses as much as digits as its factorization.

47713013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 47713013 is about 6907.4606766886. The cubic root of 47713013 is about 362.6983786150.

Adding to 47713013 its reverse (31031774), we get a palindrome (78744787).

The spelling of 47713013 in words is "forty-seven million, seven hundred thirteen thousand, thirteen".