Search a number
-
+
47872541281 is a prime number
BaseRepresentation
bin101100100101011011…
…010000001001100001
311120120022122001220111
4230211123100021201
51241020332310111
633554202411321
73313216613125
oct544533201141
9146508561814
1047872541281
111933688a904
129340500b41
13468c089806
142461d77585
1513a2c06a21
hexb256d0261

47872541281 has 2 divisors, whose sum is σ = 47872541282. Its totient is φ = 47872541280.

The previous prime is 47872541267. The next prime is 47872541329. The reversal of 47872541281 is 18214527874.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44250908881 + 3621632400 = 210359^2 + 60180^2 .

It is a cyclic number.

It is not a de Polignac number, because 47872541281 - 219 = 47872016993 is a prime.

It is a super-2 number, since 2×478725412812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (47872541221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23936270640 + 23936270641.

It is an arithmetic number, because the mean of its divisors is an integer number (23936270641).

Almost surely, 247872541281 is an apocalyptic number.

It is an amenable number.

47872541281 is a deficient number, since it is larger than the sum of its proper divisors (1).

47872541281 is an equidigital number, since it uses as much as digits as its factorization.

47872541281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1003520, while the sum is 49.

The spelling of 47872541281 in words is "forty-seven billion, eight hundred seventy-two million, five hundred forty-one thousand, two hundred eighty-one".