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20110643344 = 241142932
BaseRepresentation
bin10010101110101100…
…000001000010010000
31220220112201112101101
4102232230001002100
5312141311041334
613123320514144
71311234435151
oct225654010220
956815645341
1020110643344
11858aa30000
123a9301b954
131b865a6a7c
14d8ac87928
157ca824214
hex4aeb01090

20110643344 has 75 divisors (see below), whose sum is σ = 43007323465. Its totient is φ = 9110002880.

The previous prime is 20110643327. The next prime is 20110643351. The reversal of 20110643344 is 44334601102.

The square root of 20110643344 is 141812.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19027443600 + 1083199744 = 137940^2 + 32912^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 68636862 + ... + 68637154.

Almost surely, 220110643344 is an apocalyptic number.

20110643344 is the 141812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110643344

20110643344 is an abundant number, since it is smaller than the sum of its proper divisors (22896680121).

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

20110643344 is an frugal number, since it uses more digits than its factorization.

20110643344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 20110643344 in words is "twenty billion, one hundred ten million, six hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 293 484 586 968 1172 1331 1936 2344 2662 3223 4688 5324 6446 10648 12892 14641 21296 25784 29282 35453 51568 58564 70906 85849 117128 141812 171698 234256 283624 343396 389983 567248 686792 779966 944339 1373584 1559932 1888678 3119864 3777356 4289813 6239728 7554712 8579626 10387729 15109424 17159252 20775458 34318504 41550916 68637008 83101832 114265019 166203664 228530038 457060076 914120152 1256915209 1828240304 2513830418 5027660836 10055321672 20110643344