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17042146405 = 518138948409
BaseRepresentation
bin11111101111100101…
…01000010001100101
31121222200210201220121
433313302220101211
5234400242141110
611455024201541
71142214566014
oct176762502145
947880721817
1017042146405
117255935919
1233774692b1
1317b795bbcb
14b79530a7b
1569b24ecda
hex3f7ca8465

17042146405 has 16 divisors (see below), whose sum is σ = 20616850800. Its totient is φ = 13523258880.

The previous prime is 17042146397. The next prime is 17042146421. The reversal of 17042146405 is 50464124071.

It can be written as a sum of positive squares in 8 ways, for example, as 493639524 + 16548506881 = 22218^2 + 128641^2 .

It is not a de Polignac number, because 17042146405 - 23 = 17042146397 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 327841 + ... + 376249.

It is an arithmetic number, because the mean of its divisors is an integer number (1288553175).

Almost surely, 217042146405 is an apocalyptic number.

It is an amenable number.

17042146405 is a deficient number, since it is larger than the sum of its proper divisors (3574704395).

17042146405 is a wasteful number, since it uses less digits than its factorization.

17042146405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48984.

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 17042146405 in words is "seventeen billion, forty-two million, one hundred forty-six thousand, four hundred five".

Divisors: 1 5 181 389 905 1945 48409 70409 242045 352045 8762029 18831101 43810145 94155505 3408429281 17042146405