Search a number
-
+
17164390743105 = 356118758896987
BaseRepresentation
bin1111100111000110010101…
…1010011011110001000001
32020202220021220101020102120
43321301211122123301001
54222210133012234410
6100301113502434453
73421041414023154
oct371614532336101
966686256336376
1017164390743105
115518417110831
121b126a7892a29
139767975921b8
14434a92063c9b
151eb7427da570
hexf9c6569bc41

17164390743105 has 16 divisors (see below), whose sum is σ = 27913238718144. Its totient is φ = 9004270553280.

The previous prime is 17164390743089. The next prime is 17164390743107. The reversal of 17164390743105 is 50134709346171.

It is a happy number.

It is not a de Polignac number, because 17164390743105 - 24 = 17164390743089 is a prime.

It is a super-2 number, since 2×171643907431052 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (17164390743107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9379447579 + ... + 9379449408.

It is an arithmetic number, because the mean of its divisors is an integer number (1744577419884).

Almost surely, 217164390743105 is an apocalyptic number.

17164390743105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17164390743105 is a deficient number, since it is larger than the sum of its proper divisors (10748847975039).

17164390743105 is a wasteful number, since it uses less digits than its factorization.

17164390743105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18758897056.

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 17164390743105 in words is "seventeen trillion, one hundred sixty-four billion, three hundred ninety million, seven hundred forty-three thousand, one hundred five".

Divisors: 1 3 5 15 61 183 305 915 18758896987 56276690961 93794484935 281383454805 1144292716207 3432878148621 5721463581035 17164390743105