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17053135512 = 23371983191337
BaseRepresentation
bin11111110000111001…
…00011001010011000
31122000110111001010120
433320130203022120
5234411100314022
611500055513240
71142410155150
oct177034431230
948013431116
1017053135512
117261061126
12337b088820
1317ba008a3a
14b7ab91760
1569c1c0d5c
hex3f8723298

17053135512 has 256 divisors, whose sum is σ = 52332134400. Its totient is φ = 4522936320.

The previous prime is 17053135511. The next prime is 17053135543. The reversal of 17053135512 is 21553135071.

17053135512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17053135511) 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 63 ways as a sum of consecutive naturals, for example, 50602608 + ... + 50602944.

It is an arithmetic number, because the mean of its divisors is an integer number (204422400).

Almost surely, 217053135512 is an apocalyptic number.

17053135512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17053135512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26166067200).

17053135512 is an abundant number, since it is smaller than the sum of its proper divisors (35278998888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17053135512 is a wasteful number, since it uses less digits than its factorization.

17053135512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The spelling of 17053135512 in words is "seventeen billion, fifty-three million, one hundred thirty-five thousand, five hundred twelve".