Search a number
-
+
8355430033 = 29297710169
BaseRepresentation
bin1111100100000010…
…11011111010010001
3210120022012211020121
413302001123322101
5114102442230113
63501033510241
7414024661216
oct76201337221
923508184217
108355430033
1135a8471285
121752272381
13a3207aa52
14593989b0d
1533d807e8d
hex1f205be91

8355430033 has 12 divisors (see below), whose sum is σ = 8663192460. Its totient is φ = 8058262016.

The previous prime is 8355430007. The next prime is 8355430073. The reversal of 8355430033 is 3300345538.

It can be written as a sum of positive squares in 6 ways, for example, as 2299010704 + 6056419329 = 47948^2 + 77823^2 .

It is not a de Polignac number, because 8355430033 - 29 = 8355429521 is a prime.

It is a super-2 number, since 2×83554300332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8355430073) 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 in 11 ways as a sum of consecutive naturals, for example, 816573 + ... + 826741.

It is an arithmetic number, because the mean of its divisors is an integer number (721932705).

Almost surely, 28355430033 is an apocalyptic number.

It is an amenable number.

8355430033 is a deficient number, since it is larger than the sum of its proper divisors (307762427).

8355430033 is a wasteful number, since it uses less digits than its factorization.

8355430033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11204 (or 11175 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The square root of 8355430033 is about 91408.0414022749. The cubic root of 8355430033 is about 2029.1910382131.

The spelling of 8355430033 in words is "eight billion, three hundred fifty-five million, four hundred thirty thousand, thirty-three".

Divisors: 1 29 841 977 10169 28333 294901 821657 8552129 9935113 288118277 8355430033