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17312429953 = 721327178069
BaseRepresentation
bin10000000111111001…
…101011011110000001
31122200112101120020101
4100013321223132001
5240423440224303
611541521242401
71152006140500
oct200771533601
948615346211
1017312429953
117384462955
123431a93401
13182b953ac0
14ba33aa837
156b4d3dd1d
hex407e6b781

17312429953 has 12 divisors (see below), whose sum is σ = 21688099860. Its totient is φ = 13697746272.

The previous prime is 17312429921. The next prime is 17312429989. The reversal of 17312429953 is 35992421371.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2665863424 + 14646566529 = 51632^2 + 121023^2 .

It is not a de Polignac number, because 17312429953 - 25 = 17312429921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (17312429903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13588398 + ... + 13589671.

It is an arithmetic number, because the mean of its divisors is an integer number (1807341655).

Almost surely, 217312429953 is an apocalyptic number.

17312429953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

17312429953 is a deficient number, since it is larger than the sum of its proper divisors (4375669907).

17312429953 is a wasteful number, since it uses less digits than its factorization.

17312429953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27178096 (or 27178089 counting only the distinct ones).

The product of its digits is 408240, while the sum is 46.

The spelling of 17312429953 in words is "seventeen billion, three hundred twelve million, four hundred twenty-nine thousand, nine hundred fifty-three".

Divisors: 1 7 13 49 91 637 27178069 190246483 353314897 1331725381 2473204279 17312429953