Search a number
-
+
67648121441 is a prime number
BaseRepresentation
bin111111000000001001…
…000110101001100001
320110121111212122000022
4333000021012221201
52102020404341231
651024354003225
74613245354565
oct770011065141
9213544778008
1067648121441
112676466798a
121113b276515
1364c110a034
1433ba5216a5
151b5dde2c7b
hexfc0246a61

67648121441 has 2 divisors, whose sum is σ = 67648121442. Its totient is φ = 67648121440.

The previous prime is 67648121423. The next prime is 67648121473. The reversal of 67648121441 is 14412184676.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55194454225 + 12453667216 = 234935^2 + 111596^2 .

It is a cyclic number.

It is not a de Polignac number, because 67648121441 - 26 = 67648121377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 67648121392 and 67648121401.

It is not a weakly prime, because it can be changed into another prime (67648121141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33824060720 + 33824060721.

It is an arithmetic number, because the mean of its divisors is an integer number (33824060721).

Almost surely, 267648121441 is an apocalyptic number.

It is an amenable number.

67648121441 is a deficient number, since it is larger than the sum of its proper divisors (1).

67648121441 is an equidigital number, since it uses as much as digits as its factorization.

67648121441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 258048, while the sum is 44.

The spelling of 67648121441 in words is "sixty-seven billion, six hundred forty-eight million, one hundred twenty-one thousand, four hundred forty-one".