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33066994753 = 1322911107489
BaseRepresentation
bin11110110010111100…
…100100110001000001
310011100111101101020101
4132302330210301001
51020210122313003
623105112242401
72250300550342
oct366274446101
9104314341211
1033066994753
1113029502641
1264aa0a0401
13316c9052b0
1418598d00c9
15cd800311d
hex7b2f24c41

33066994753 has 8 divisors (see below), whose sum is σ = 35766117800. Its totient is φ = 30390087168.

The previous prime is 33066994673. The next prime is 33066994769. The reversal of 33066994753 is 35749966033.

It can be written as a sum of positive squares in 4 ways, for example, as 951845904 + 32115148849 = 30852^2 + 179207^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33066994753 - 29 = 33066994241 is a prime.

It is a super-2 number, since 2×330669947532 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33066994694 and 33066994703.

It is not an unprimeable number, because it can be changed into a prime (33066997753) 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 7 ways as a sum of consecutive naturals, for example, 5550768 + ... + 5556721.

It is an arithmetic number, because the mean of its divisors is an integer number (4470764725).

Almost surely, 233066994753 is an apocalyptic number.

It is an amenable number.

33066994753 is a deficient number, since it is larger than the sum of its proper divisors (2699123047).

33066994753 is a wasteful number, since it uses less digits than its factorization.

33066994753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11107731.

The product of its (nonzero) digits is 11022480, while the sum is 55.

The spelling of 33066994753 in words is "thirty-three billion, sixty-six million, nine hundred ninety-four thousand, seven hundred fifty-three".

Divisors: 1 13 229 2977 11107489 144397357 2543614981 33066994753