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165500840340 = 223251127598753
BaseRepresentation
bin1001101000100010011…
…1100110100110010100
3120211012001000210100100
42122020213212212110
510202421203342330
6204010253214100
714646156634413
oct2321047464624
9524161023310
10165500840340
1164208a00a00
12280a9a91330
13127b6ab5c34
14802030947a
154489876060
hex26889e6994

165500840340 has 108 divisors (see below), whose sum is σ = 551806317972. Its totient is φ = 40121410560.

The previous prime is 165500840303. The next prime is 165500840357. The reversal of 165500840340 is 43048005561.

It is a happy number.

165500840340 is a `hidden beast` number, since 165 + 50 + 0 + 8 + 403 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115352612496 + 50148227844 = 339636^2 + 223938^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165500840295 and 165500840304.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3777597 + ... + 3821156.

It is an arithmetic number, because the mean of its divisors is an integer number (5109317759).

Almost surely, 2165500840340 is an apocalyptic number.

165500840340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165500840340 is an abundant number, since it is smaller than the sum of its proper divisors (386305477632).

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

165500840340 is a wasteful number, since it uses less digits than its factorization.

165500840340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7598790 (or 7598774 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 165500840340 in words is "one hundred sixty-five billion, five hundred million, eight hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 7598753 15197506 22796259 30395012 37993765 45592518 68388777 75987530 83586283 91185036 113981295 136777554 151975060 167172566 227962590 250758849 273555108 334345132 341943885 417931415 455925180 501517698 683887770 752276547 835862830 919449113 1003035396 1253794245 1367775540 1504553094 1671725660 1838898226 2507588490 2758347339 3009106188 3677796452 3761382735 4597245565 5015176980 5516694678 7522765470 8275042017 9194491130 11033389356 13791736695 15045530940 16550084034 18388982260 27583473390 33100168068 41375210085 55166946780 82750420170 165500840340