Search a number
-
+
9033113309 = 11274653829
BaseRepresentation
bin10000110100110101…
…00101111011011101
3212022112101200221012
420122122211323131
5121444434111214
64052202545005
7436564124213
oct103232457335
925275350835
109033113309
113915a58800
121901208165
13b0c5a537c
14619994cb3
1537d06d03e
hex21a6a5edd

9033113309 has 6 divisors (see below), whose sum is σ = 9928959390. Its totient is φ = 8211921080.

The previous prime is 9033113213. The next prime is 9033113359.

9033113309 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 8541826084 + 491287225 = 92422^2 + 22165^2 .

It is not a de Polignac number, because 9033113309 - 212 = 9033109213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9033113359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37326794 + ... + 37327035.

It is an arithmetic number, because the mean of its divisors is an integer number (1654826565).

Almost surely, 29033113309 is an apocalyptic number.

It is an amenable number.

9033113309 is a deficient number, since it is larger than the sum of its proper divisors (895846081).

9033113309 is a wasteful number, since it uses less digits than its factorization.

9033113309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74653851 (or 74653840 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 32.

The square root of 9033113309 is about 95042.6920336330. The cubic root of 9033113309 is about 2082.6317547846.

The spelling of 9033113309 in words is "nine billion, thirty-three million, one hundred thirteen thousand, three hundred nine".

Divisors: 1 11 121 74653829 821192119 9033113309