Search a number
-
+
1644131110009 is a prime number
BaseRepresentation
bin10111111011001101110…
…110011100110001111001
312211011210022202011001011
4113323031312130301321
5203414140031010014
63255145311353521
7226533046564243
oct27731566346171
95734708664034
101644131110009
115842aa170633
122267882228a1
13bc06bb13a9b
145980d7bb093
152cb7aadd7c4
hex17ecdd9cc79

1644131110009 has 2 divisors, whose sum is σ = 1644131110010. Its totient is φ = 1644131110008.

The previous prime is 1644131110001. The next prime is 1644131110093. The reversal of 1644131110009 is 9000111314461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1074705422400 + 569425687609 = 1036680^2 + 754603^2 .

It is an emirp because it is prime and its reverse (9000111314461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1644131110009 - 23 = 1644131110001 is a prime.

It is a super-3 number, since 3×16441311100093 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1644131110001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 822065555004 + 822065555005.

It is an arithmetic number, because the mean of its divisors is an integer number (822065555005).

Almost surely, 21644131110009 is an apocalyptic number.

It is an amenable number.

1644131110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1644131110009 is an equidigital number, since it uses as much as digits as its factorization.

1644131110009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 1644131110009 in words is "one trillion, six hundred forty-four billion, one hundred thirty-one million, one hundred ten thousand, nine".