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133466008033 = 1721907242171
BaseRepresentation
bin111110001001100110…
…0011010100111100001
3110202111110211200210201
41330103030122213201
54141314244224113
6141151411425201
712433261231021
oct1742314324741
9422443750721
10133466008033
115166a09a286
1221a495b5201
13c77cc9c167
146661939a81
1537122a8cdd
hex1f1331a9e1

133466008033 has 12 divisors (see below), whose sum is σ = 141853702032. Its totient is φ = 125548677440.

The previous prime is 133466008009. The next prime is 133466008073. The reversal of 133466008033 is 330800664331.

It is not a de Polignac number, because 133466008033 - 213 = 133465999841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133466007983 and 133466008001.

It is not an unprimeable number, because it can be changed into a prime (133466008073) 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 11 ways as a sum of consecutive naturals, for example, 430038 + ... + 672208.

It is an arithmetic number, because the mean of its divisors is an integer number (11821141836).

Almost surely, 2133466008033 is an apocalyptic number.

It is an amenable number.

133466008033 is a deficient number, since it is larger than the sum of its proper divisors (8387693999).

133466008033 is a wasteful number, since it uses less digits than its factorization.

133466008033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244112 (or 244095 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 133466008033 in words is "one hundred thirty-three billion, four hundred sixty-six million, eight thousand, thirty-three".

Divisors: 1 17 289 1907 32419 242171 551123 4116907 69987419 461820097 7850941649 133466008033