Search a number
-
+
20203351870014 = 23317791559178693
BaseRepresentation
bin1001001011111111101011…
…00111001000101000111110
32122112102101022212211102000
410211333311213020220332
510122002431034320024
6110545143002243130
74153433615264445
oct445776547105076
978472338784360
1020203351870014
11648a214480845
1223236657b64a6
13b37224b76841
144dbbc157bd5c
15250807706cc9
hex125ff59c8a3e

20203351870014 has 128 divisors (see below), whose sum is σ = 48170184192000. Its totient is φ = 6254025583104.

The previous prime is 20203351870003. The next prime is 20203351870033. The reversal of 20203351870014 is 41007815330202.

20203351870014 is a `hidden beast` number, since 20 + 20 + 33 + 518 + 70 + 0 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112972452 + ... + 113151144.

It is an arithmetic number, because the mean of its divisors is an integer number (376329564000).

Almost surely, 220203351870014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20203351870014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24085092096000).

20203351870014 is an abundant number, since it is smaller than the sum of its proper divisors (27966832321986).

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

20203351870014 is a wasteful number, since it uses less digits than its factorization.

20203351870014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180359 (or 180353 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20203351870014 in words is "twenty trillion, two hundred three billion, three hundred fifty-one million, eight hundred seventy thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 102 153 158 237 306 459 474 711 918 1343 1422 1559 2133 2686 3118 4029 4266 4677 8058 9354 12087 14031 24174 26503 28062 36261 42093 53006 72522 79509 84186 123161 159018 178693 238527 246322 357386 369483 477054 536079 715581 738966 1072158 1108449 1431162 1608237 2093737 2216898 3037781 3216474 3325347 4187474 4824711 6075562 6281211 6650694 9113343 9649422 12562422 14116747 18226686 18843633 27340029 28233494 37687266 42350241 54680058 56530899 82020087 84700482 113061798 127050723 164040174 239984699 254101446 278582387 381152169 479969398 557164774 719954097 762304338 835747161 1439908194 1671494322 2159862291 2507241483 4319724582 4735900579 5014482966 6479586873 7521724449 9471801158 12959173746 14207701737 15043448898 22008008573 28415403474 42623105211 44016017146 66024025719 85246210422 127869315633 132048051438 198072077157 255738631266 374136145741 396144154314 594216231471 748272291482 1122408437223 1188432462942 2244816874446 3367225311669 6734450623338 10101675935007 20203351870014