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33045204132 = 22322633490199
BaseRepresentation
bin11110110001101001…
…011100110010100100
310011021222101022010100
4132301221130302210
51020134033013012
623103013224100
72246614413003
oct366151346244
9104258338110
1033045204132
1113018179a66
1264a2932030
133168245b35
141856a5ac3a
15cd614b8dc
hex7b1a5cca4

33045204132 has 36 divisors (see below), whose sum is σ = 83848564800. Its totient is φ = 10973182512.

The previous prime is 33045204121. The next prime is 33045204151. The reversal of 33045204132 is 23140254033.

33045204132 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 520 + 4 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×330452041322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33045204096 and 33045204105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1735632 + ... + 1754567.

It is an arithmetic number, because the mean of its divisors is an integer number (2329126800).

Almost surely, 233045204132 is an apocalyptic number.

It is an amenable number.

33045204132 is an abundant number, since it is smaller than the sum of its proper divisors (50803360668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33045204132 is a wasteful number, since it uses less digits than its factorization.

33045204132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490472 (or 3490467 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 33045204132 its reverse (23140254033), we get a palindrome (56185458165).

The spelling of 33045204132 in words is "thirty-three billion, forty-five million, two hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 263 526 789 1052 1578 2367 3156 4734 9468 3490199 6980398 10470597 13960796 20941194 31411791 41882388 62823582 125647164 917922337 1835844674 2753767011 3671689348 5507534022 8261301033 11015068044 16522602066 33045204132