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20364563134175 = 52132193127130197
BaseRepresentation
bin1001010000101011111101…
…00011010011011011011111
32200002211111102022120110112
410220111332203103123133
510132123111130243200
6111151203503200235
74201201600362161
oct450257643233337
980084442276415
1020364563134175
116541620a93667
12234a956ba607b
13b494a704ca00
14505915cb4931
15254ae06a7535
hex12857e8d36df

20364563134175 has 144 divisors (see below), whose sum is σ = 29822211256320. Its totient is φ = 13736039616000.

The previous prime is 20364563134163. The next prime is 20364563134183. The reversal of 20364563134175 is 57143136546302.

It is a happy number.

It is not a de Polignac number, because 20364563134175 - 28 = 20364563133919 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 674375177 + ... + 674405373.

It is an arithmetic number, because the mean of its divisors is an integer number (207098689280).

Almost surely, 220364563134175 is an apocalyptic number.

20364563134175 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20364563134175 is a deficient number, since it is larger than the sum of its proper divisors (9457648122145).

20364563134175 is a wasteful number, since it uses less digits than its factorization.

20364563134175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30554 (or 30536 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 50.

The spelling of 20364563134175 in words is "twenty trillion, three hundred sixty-four billion, five hundred sixty-three million, one hundred thirty-four thousand, one hundred seventy-five".

Divisors: 1 5 13 19 25 31 65 95 155 169 247 271 325 403 475 589 775 845 1235 1355 2015 2945 3211 3523 4225 5149 5239 6175 6775 7657 8401 10075 14725 16055 17615 25745 26195 30197 38285 42005 45799 66937 80275 88075 99541 109213 128725 130975 150985 159619 191425 210025 228995 334685 392561 497705 546065 573743 754925 798095 870181 936107 1144975 1419769 1673425 1962805 2075047 2488525 2730325 2868715 3990475 4350905 4680535 5103293 7098845 7458659 8183387 9814025 10375235 12169391 14343575 17786033 21754525 23402675 25516465 26975611 35494225 37293295 40916935 51876175 60846955 88930165 96962567 106384031 127582325 134878055 155484353 158202083 186466475 204584675 231218429 253684997 304234775 444650825 484812835 531920155 674390275 777421765 791010415 1156092145 1268424985 1382992403 2021296589 2424064175 2659600775 3005839577 3297904961 3887108825 3955052075 4820014943 5780460725 6342124925 6914962015 10106482945 15029197885 16489524805 24100074715 26276855657 34574810075 42872764493 50532414725 62660194259 75145989425 82447624025 120500373575 131384278285 214363822465 313300971295 656921391425 814582525367 1071819112325 1566504856475 4072912626835 20364563134175