Search a number
-
+
1644005933 is a prime number
BaseRepresentation
bin110000111111101…
…1000101000101101
311020120111011011122
41201333120220231
511331331142213
6431044430325
755511551133
oct14177305055
94216434148
101644005933
11773aa8a99
1239a6a83a5
132027a2a9b
141184ab753
15994e2d08
hex61fd8a2d

1644005933 has 2 divisors, whose sum is σ = 1644005934. Its totient is φ = 1644005932.

The previous prime is 1644005929. The next prime is 1644005947. The reversal of 1644005933 is 3395004461.

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., 1470108964 + 173896969 = 38342^2 + 13187^2 .

It is a cyclic number.

It is not a de Polignac number, because 1644005933 - 22 = 1644005929 is a prime.

It is a super-3 number, since 3×16440059333 (a number of 29 digits) contains 333 as substring.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1644005893 and 1644005902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1644005963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 822002966 + 822002967.

It is an arithmetic number, because the mean of its divisors is an integer number (822002967).

Almost surely, 21644005933 is an apocalyptic number.

It is an amenable number.

1644005933 is a deficient number, since it is larger than the sum of its proper divisors (1).

1644005933 is an equidigital number, since it uses as much as digits as its factorization.

1644005933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 1644005933 is about 40546.3430286876. The cubic root of 1644005933 is about 1180.2331084519.

The spelling of 1644005933 in words is "one billion, six hundred forty-four million, five thousand, nine hundred thirty-three".