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10381908329 = 133722939413
BaseRepresentation
bin10011010101100111…
…10101100101101001
3222210112101120212022
421222303311211221
5132230232031304
64434104154225
7515162523212
oct115263654551
928715346768
1010381908329
114448353431
122018a68975
13c95b66130
14706b78409
1540b69aebe
hex26acf5969

10381908329 has 16 divisors (see below), whose sum is σ = 11488920912. Its totient is φ = 9319235328.

The previous prime is 10381908323. The next prime is 10381908343. The reversal of 10381908329 is 92380918301.

It can be written as a sum of positive squares in 8 ways, for example, as 883456729 + 9498451600 = 29723^2 + 97460^2 .

It is not a de Polignac number, because 10381908329 - 224 = 10365131113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10381908329.

It is not an unprimeable number, because it can be changed into a prime (10381908323) 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 15 ways as a sum of consecutive naturals, for example, 1098227 + ... + 1107639.

It is an arithmetic number, because the mean of its divisors is an integer number (718057557).

Almost surely, 210381908329 is an apocalyptic number.

It is an amenable number.

10381908329 is a deficient number, since it is larger than the sum of its proper divisors (1107012583).

10381908329 is a wasteful number, since it uses less digits than its factorization.

10381908329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11756.

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 10381908329 in words is "ten billion, three hundred eighty-one million, nine hundred eight thousand, three hundred twenty-nine".

Divisors: 1 13 37 481 2293 9413 29809 84841 122369 348281 1102933 4527653 21584009 280592117 798608333 10381908329