Search a number
-
+
4644467426761 is a prime number
BaseRepresentation
bin100001110010101111111…
…0101001100010111001001
3121110000011220212002100021
41003211133311030113021
51102043332130124021
613513345555340441
7656360142515551
oct103453765142711
917400156762307
104644467426761
111530786866038
126301668b1721
13278c82218986
14120b1721c161
1580c2eb16c41
hex4395fd4c5c9

4644467426761 has 2 divisors, whose sum is σ = 4644467426762. Its totient is φ = 4644467426760.

The previous prime is 4644467426747. The next prime is 4644467426773. The reversal of 4644467426761 is 1676247644464.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3057056421136 + 1587411005625 = 1748444^2 + 1259925^2 .

It is a cyclic number.

It is not a de Polignac number, because 4644467426761 - 211 = 4644467424713 is a prime.

It is a super-2 number, since 2×46444674267612 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4644467426761.

It is not a weakly prime, because it can be changed into another prime (4644467426861) 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, 2322233713380 + 2322233713381.

It is an arithmetic number, because the mean of its divisors is an integer number (2322233713381).

Almost surely, 24644467426761 is an apocalyptic number.

It is an amenable number.

4644467426761 is a deficient number, since it is larger than the sum of its proper divisors (1).

4644467426761 is an equidigital number, since it uses as much as digits as its factorization.

4644467426761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 130056192, while the sum is 61.

The spelling of 4644467426761 in words is "four trillion, six hundred forty-four billion, four hundred sixty-seven million, four hundred twenty-six thousand, seven hundred sixty-one".