Search a number
-
+
33738822133 is a prime number
BaseRepresentation
bin11111011010111111…
…011001000111110101
310020002022112202010221
4133122333121013311
51023044114302013
623255512014341
72303036153632
oct373277310765
9106068482127
1033738822133
111334375a485
1266570913b1
133248b5c3a3
1418c0c13189
15d26ead08d
hex7dafd91f5

33738822133 has 2 divisors, whose sum is σ = 33738822134. Its totient is φ = 33738822132.

The previous prime is 33738822127. The next prime is 33738822263. The reversal of 33738822133 is 33122883733.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20348166609 + 13390655524 = 142647^2 + 115718^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33738822133 is a prime.

It is a super-2 number, since 2×337388221332 (a number of 22 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 33738822133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33738820133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16869411066 + 16869411067.

It is an arithmetic number, because the mean of its divisors is an integer number (16869411067).

Almost surely, 233738822133 is an apocalyptic number.

It is an amenable number.

33738822133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33738822133 is an equidigital number, since it uses as much as digits as its factorization.

33738822133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 435456, while the sum is 43.

The spelling of 33738822133 in words is "thirty-three billion, seven hundred thirty-eight million, eight hundred twenty-two thousand, one hundred thirty-three".