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17052101385 = 3511375994663
BaseRepresentation
bin11111110000110001…
…00110101100001001
31122000101112111120120
433320120212230021
5234410314221020
611500021413453
71142365320204
oct177030465411
948011474516
1017052101385
117260515180
12337a86a289
1317b9a36127
14b7a9a293b
1569c069740
hex3f8626b09

17052101385 has 64 divisors (see below), whose sum is σ = 30625689600. Its totient is φ = 8029082880.

The previous prime is 17052101383. The next prime is 17052101411. The reversal of 17052101385 is 58310125071.

17052101385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 17052101385 - 21 = 17052101383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (17052101383) 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, 3654564 + ... + 3659226.

It is an arithmetic number, because the mean of its divisors is an integer number (478526400).

Almost surely, 217052101385 is an apocalyptic number.

17052101385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17052101385 is a deficient number, since it is larger than the sum of its proper divisors (13573588215).

17052101385 is a wasteful number, since it uses less digits than its factorization.

17052101385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318.

The product of its (nonzero) digits is 8400, while the sum is 33.

The spelling of 17052101385 in words is "seventeen billion, fifty-two million, one hundred one thousand, three hundred eighty-five".

Divisors: 1 3 5 11 15 33 37 55 111 165 185 407 555 599 1221 1797 2035 2995 4663 6105 6589 8985 13989 19767 22163 23315 32945 51293 66489 69945 98835 110815 153879 172531 243793 256465 332445 517593 731379 769395 862655 1218965 1897841 2587965 2793137 3656895 5693523 8379411 9489205 13965685 28467615 30724507 41897055 92173521 103346069 153622535 310038207 460867605 516730345 1136806759 1550191035 3410420277 5684033795 17052101385