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47258156513 is a prime number
BaseRepresentation
bin101100000000110011…
…100011110111100001
311111222111120002110002
4230000303203313201
51233241042002023
633413214145345
73262046462651
oct540063436741
9144874502402
1047258156513
1119050aa74a7
1291aa7b2255
1345c19c5629
142404528361
151368ce6b28
hexb00ce3de1

47258156513 has 2 divisors, whose sum is σ = 47258156514. Its totient is φ = 47258156512.

The previous prime is 47258156507. The next prime is 47258156551. The reversal of 47258156513 is 31565185274.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36036567889 + 11221588624 = 189833^2 + 105932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47258156513 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (47258756513) 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, 23629078256 + 23629078257.

It is an arithmetic number, because the mean of its divisors is an integer number (23629078257).

Almost surely, 247258156513 is an apocalyptic number.

It is an amenable number.

47258156513 is a deficient number, since it is larger than the sum of its proper divisors (1).

47258156513 is an equidigital number, since it uses as much as digits as its factorization.

47258156513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008000, while the sum is 47.

The spelling of 47258156513 in words is "forty-seven billion, two hundred fifty-eight million, one hundred fifty-six thousand, five hundred thirteen".