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4463456642641 is a prime number
BaseRepresentation
bin100000011110011101010…
…1111110110011001010001
3120210200221222010111221201
41000330322233312121101
51041112124400031031
613254252250151201
7640321421321143
oct100747257663121
916720858114851
104463456642641
111470a39a04887
1260106a722501
13264b9605c819
141160650a8c93
157b1887ebd61
hex40f3abf6651

4463456642641 has 2 divisors, whose sum is σ = 4463456642642. Its totient is φ = 4463456642640.

The previous prime is 4463456642629. The next prime is 4463456642833. The reversal of 4463456642641 is 1462466543644.

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., 3223120043025 + 1240336599616 = 1795305^2 + 1113704^2 .

It is a cyclic number.

It is not a de Polignac number, because 4463456642641 - 219 = 4463456118353 is a prime.

It is not a weakly prime, because it can be changed into another prime (4463456646641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2231728321320 + 2231728321321.

It is an arithmetic number, because the mean of its divisors is an integer number (2231728321321).

Almost surely, 24463456642641 is an apocalyptic number.

It is an amenable number.

4463456642641 is a deficient number, since it is larger than the sum of its proper divisors (1).

4463456642641 is an equidigital number, since it uses as much as digits as its factorization.

4463456642641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39813120, while the sum is 55.

The spelling of 4463456642641 in words is "four trillion, four hundred sixty-three billion, four hundred fifty-six million, six hundred forty-two thousand, six hundred forty-one".