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20173105332780 = 2235292571769929
BaseRepresentation
bin1001001011000111010101…
…10001110000001000101100
32122102112022101200112112020
410211203222301300020230
510121004004431122110
6110523221402110140
74151313233045241
oct445435261601054
978375271615466
1020173105332780
116478403059734
1223198241ab350
13b344146b222a
144da5524b95c8
1524eb3712ed70
hex1258eac7022c

20173105332780 has 144 divisors (see below), whose sum is σ = 58510676034720. Its totient is φ = 5193012156416.

The previous prime is 20173105332767. The next prime is 20173105332791. The reversal of 20173105332780 is 8723350137102.

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 47 ways as a sum of consecutive naturals, for example, 288444856 + ... + 288514784.

It is an arithmetic number, because the mean of its divisors is an integer number (406324139130).

Almost surely, 220173105332780 is an apocalyptic number.

20173105332780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20173105332780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29255338017360).

20173105332780 is an abundant number, since it is smaller than the sum of its proper divisors (38337570701940).

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

20173105332780 is a wasteful number, since it uses less digits than its factorization.

20173105332780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75716 (or 75685 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

Adding to 20173105332780 its reverse (8723350137102), we get a palindrome (28896455469882).

The spelling of 20173105332780 in words is "twenty trillion, one hundred seventy-three billion, one hundred five million, three hundred thirty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 841 870 1682 1740 2523 3364 4205 5046 5717 8410 10092 11434 12615 16820 17151 22868 25230 28585 34302 50460 57170 68604 69929 85755 114340 139858 165793 171510 209787 279716 331586 343020 349645 419574 497379 663172 699290 828965 839148 994758 1048935 1398580 1657930 1989516 2027941 2097870 2486895 3315860 4055882 4195740 4807997 4973790 6083823 8111764 9615994 9947580 10139705 12167646 14423991 19231988 20279410 24039985 24335292 28847982 30419115 40558820 48079970 57695964 58810289 60838230 72119955 96159940 117620578 121676460 144239910 176430867 235241156 288479820 294051445 352861734 399784093 588102890 705723468 799568186 882154335 1176205780 1199352279 1599136372 1764308670 1998920465 2398704558 3528617340 3997840930 4797409116 5996761395 7995681860 11593738697 11993522790 23187477394 23987045580 34781216091 46374954788 57968693485 69562432182 115937386970 139124864364 173906080455 231874773940 336218422213 347812160910 672436844426 695624321820 1008655266639 1344873688852 1681092111065 2017310533278 3362184222130 4034621066556 5043276333195 6724368444260 10086552666390 20173105332780