Search a number
-
+
33889779041 is a prime number
BaseRepresentation
bin11111100011111111…
…001111110101100001
310020110211121011002112
4133203333033311201
51023401240412131
623322503325105
72306551240346
oct374377176541
9106424534075
1033889779041
1113410995658
126699750795
1332712049c1
1418d6caa7cd
15d3537b02b
hex7e3fcfd61

33889779041 has 2 divisors, whose sum is σ = 33889779042. Its totient is φ = 33889779040.

The previous prime is 33889779031. The next prime is 33889779061. The reversal of 33889779041 is 14097798833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24311046400 + 9578732641 = 155920^2 + 97871^2 .

It is an emirp because it is prime and its reverse (14097798833) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33889779041 is a prime.

It is a super-2 number, since 2×338897790412 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33889779031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16944889520 + 16944889521.

It is an arithmetic number, because the mean of its divisors is an integer number (16944889521).

Almost surely, 233889779041 is an apocalyptic number.

It is an amenable number.

33889779041 is a deficient number, since it is larger than the sum of its proper divisors (1).

33889779041 is an equidigital number, since it uses as much as digits as its factorization.

33889779041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9144576, while the sum is 59.

The spelling of 33889779041 in words is "thirty-three billion, eight hundred eighty-nine million, seven hundred seventy-nine thousand, forty-one".