Search a number
-
+
33149374209 = 327275168649
BaseRepresentation
bin11110110111110110…
…110100111100000001
310011120020101200121100
4132313312310330001
51020342214433314
623121214045013
72252321013600
oct366766647401
9104506350540
1033149374209
1113070a59536
1265117a9769
1331839b9733
141866815a37
15ce0376c09
hex7b7db4f01

33149374209 has 18 divisors (see below), whose sum is σ = 55699969650. Its totient is φ = 18942499296.

The previous prime is 33149374199. The next prime is 33149374261. The reversal of 33149374209 is 90247394133.

33149374209 is a `hidden beast` number, since 3 + 31 + 49 + 374 + 209 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31974804225 + 1174569984 = 178815^2 + 34272^2 .

It is not a de Polignac number, because 33149374209 - 25 = 33149374177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33149378209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37583884 + ... + 37584765.

Almost surely, 233149374209 is an apocalyptic number.

It is an amenable number.

33149374209 is a deficient number, since it is larger than the sum of its proper divisors (22550595441).

33149374209 is a wasteful number, since it uses less digits than its factorization.

33149374209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75168669 (or 75168659 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 33149374209 in words is "thirty-three billion, one hundred forty-nine million, three hundred seventy-four thousand, two hundred nine".

Divisors: 1 3 7 9 21 49 63 147 441 75168649 225505947 526180543 676517841 1578541629 3683263801 4735624887 11049791403 33149374209