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33140604133 = 7132811296023
BaseRepresentation
bin11110110111010101…
…010111110011100101
310011112121220010022201
4132313111113303211
51020332443313013
623120302054501
72252153326060
oct366725276345
9104477803281
1033140604133
111306700943a
12650a87a431
133181c38940
1418655b18d7
15cde6e33dd
hex7b7557ce5

33140604133 has 16 divisors (see below), whose sum is σ = 40933622016. Its totient is φ = 26127803520.

The previous prime is 33140604127. The next prime is 33140604169.

33140604133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33140604133 - 213 = 33140595941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33140604533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622441 + ... + 673582.

It is an arithmetic number, because the mean of its divisors is an integer number (2558351376).

Almost surely, 233140604133 is an apocalyptic number.

It is an amenable number.

33140604133 is a deficient number, since it is larger than the sum of its proper divisors (7793017883).

33140604133 is a wasteful number, since it uses less digits than its factorization.

33140604133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296324.

The product of its (nonzero) digits is 7776, while the sum is 28.

The spelling of 33140604133 in words is "thirty-three billion, one hundred forty million, six hundred four thousand, one hundred thirty-three".

Divisors: 1 7 13 91 281 1967 3653 25571 1296023 9072161 16848299 117938093 364182463 2549277241 4734372019 33140604133