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10441307817 = 321160145313
BaseRepresentation
bin10011011100101100…
…11011011010101001
3222221200011101122100
421232112123122221
5132340433322232
64444025244013
7516513436443
oct115626333251
928850141570
1010441307817
114478934116
122034933609
13ca5262965
147109db493
154119d0c7c
hex26e59b6a9

10441307817 has 6 divisors (see below), whose sum is σ = 15081889082. Its totient is φ = 6960871872.

The previous prime is 10441307801. The next prime is 10441307819. The reversal of 10441307817 is 71870314401.

It can be written as a sum of positive squares in only one way, i.e., 10286827776 + 154480041 = 101424^2 + 12429^2 .

It is not a de Polignac number, because 10441307817 - 24 = 10441307801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10441307819) 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 5 ways as a sum of consecutive naturals, for example, 580072648 + ... + 580072665.

Almost surely, 210441307817 is an apocalyptic number.

It is an amenable number.

10441307817 is a deficient number, since it is larger than the sum of its proper divisors (4640581265).

10441307817 is a wasteful number, since it uses less digits than its factorization.

10441307817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160145319 (or 1160145316 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10441307817 in words is "ten billion, four hundred forty-one million, three hundred seven thousand, eight hundred seventeen".

Divisors: 1 3 9 1160145313 3480435939 10441307817