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20681891344 = 2415722292
BaseRepresentation
bin10011010000101111…
…001001111000010000
31222101100121221022201
4103100233021320100
5314324031010334
613300124412544
71331342114212
oct232057117020
958340557281
1020681891344
118853430094
1240123a7154
131c47a4673a
141002aa85b2
15810a62c14
hex4d0bc9e10

20681891344 has 45 divisors (see below), whose sum is σ = 40504894407. Its totient is φ = 10230210432.

The previous prime is 20681891317. The next prime is 20681891357. The reversal of 20681891344 is 44319818602.

The square root of 20681891344 is 143812.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1888771600 + 18793119744 = 43460^2 + 137088^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20681891294 and 20681891303.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90313822 + ... + 90314050.

Almost surely, 220681891344 is an apocalyptic number.

20681891344 is the 143812-nd square number.

It is an amenable number.

20681891344 is a deficient number, since it is larger than the sum of its proper divisors (19823003063).

20681891344 is an frugal number, since it uses more digits than its factorization.

20681891344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

It can be divided in two parts, 20681 and 891344, that added together give a square (912025 = 9552).

The spelling of 20681891344 in words is "twenty billion, six hundred eighty-one million, eight hundred ninety-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 157 229 314 458 628 916 1256 1832 2512 3664 24649 35953 49298 52441 71906 98596 104882 143812 197192 209764 287624 394384 419528 575248 839056 5644621 8233237 11289242 16466474 22578484 32932948 45156968 65865896 90313936 131731792 1292618209 2585236418 5170472836 10340945672 20681891344