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47641006781 is a prime number
BaseRepresentation
bin101100010111101000…
…000001001010111101
311112222011221220021122
4230113220001022331
51240032044204111
633515212040325
73304405606334
oct542750011275
9145864856248
1047641006781
1119228119585
129296a630a5
134653110c54
14243d306d1b
15138c71dcdb
hexb17a012bd

47641006781 has 2 divisors, whose sum is σ = 47641006782. Its totient is φ = 47641006780.

The previous prime is 47641006741. The next prime is 47641006793. The reversal of 47641006781 is 18760014674.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35516794681 + 12124212100 = 188459^2 + 110110^2 .

It is a cyclic number.

It is not a de Polignac number, because 47641006781 - 210 = 47641005757 is a prime.

It is a super-2 number, since 2×476410067812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47641006741) 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, 23820503390 + 23820503391.

It is an arithmetic number, because the mean of its divisors is an integer number (23820503391).

Almost surely, 247641006781 is an apocalyptic number.

It is an amenable number.

47641006781 is a deficient number, since it is larger than the sum of its proper divisors (1).

47641006781 is an equidigital number, since it uses as much as digits as its factorization.

47641006781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 47641006781 in words is "forty-seven billion, six hundred forty-one million, six thousand, seven hundred eighty-one".