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32883870041 = 112424164081
BaseRepresentation
bin11110101000000010…
…000000100101011001
310010212201210200100122
4132220002000211121
51014321232320131
623035011243025
72242615166141
oct365002004531
9103781720318
1032883870041
1112a450a6300
1264588a9475
1331409a9089
14183d461921
15cc6dcdd7b
hex7a8080959

32883870041 has 12 divisors (see below), whose sum is σ = 36154167252. Its totient is φ = 29886912000.

The previous prime is 32883869999. The next prime is 32883870053. The reversal of 32883870041 is 14007838823.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24264604441 + 8619265600 = 155771^2 + 92840^2 .

It is a de Polignac number, because none of the positive numbers 2k-32883870041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32883869974 and 32883870001.

It is not an unprimeable number, because it can be changed into a prime (32883870641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481121 + ... + 545201.

It is an arithmetic number, because the mean of its divisors is an integer number (3012847271).

Almost surely, 232883870041 is an apocalyptic number.

It is an amenable number.

32883870041 is a deficient number, since it is larger than the sum of its proper divisors (3270297211).

32883870041 is a wasteful number, since it uses less digits than its factorization.

32883870041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68344 (or 68333 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 32883870041 in words is "thirty-two billion, eight hundred eighty-three million, eight hundred seventy thousand, forty-one".

Divisors: 1 11 121 4241 46651 64081 513161 704891 7753801 271767521 2989442731 32883870041