Search a number
-
+
33768628433 is a prime number
BaseRepresentation
bin11111011100110001…
…000110000011010001
310020011101122001200222
4133130301012003101
51023124232102213
623302454522425
72303550414521
oct373461060321
9106141561628
1033768628433
1113359568391
126665066415
133252097157
1418c4b71681
15d298e9808
hex7dcc460d1

33768628433 has 2 divisors, whose sum is σ = 33768628434. Its totient is φ = 33768628432.

The previous prime is 33768628381. The next prime is 33768628441. The reversal of 33768628433 is 33482686733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33742750864 + 25877569 = 183692^2 + 5087^2 .

It is a cyclic number.

It is not a de Polignac number, because 33768628433 - 222 = 33764434129 is a prime.

It is a super-2 number, since 2×337686284332 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33768628483) 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, 16884314216 + 16884314217.

It is an arithmetic number, because the mean of its divisors is an integer number (16884314217).

Almost surely, 233768628433 is an apocalyptic number.

It is an amenable number.

33768628433 is a deficient number, since it is larger than the sum of its proper divisors (1).

33768628433 is an equidigital number, since it uses as much as digits as its factorization.

33768628433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10450944, while the sum is 53.

The spelling of 33768628433 in words is "thirty-three billion, seven hundred sixty-eight million, six hundred twenty-eight thousand, four hundred thirty-three".