Search a number
-
+
20051801728 = 27723993637
BaseRepresentation
bin10010101011001011…
…100011011010000000
31220202110000001212021
4102223023203122000
5312031230123403
613113415411224
71306621334230
oct225313433200
956673001767
1020051801728
11855a7a0472
123a77383b14
131b7734414a
14d8312bcc0
157c559e8bd
hex4ab2e3680

20051801728 has 64 divisors (see below), whose sum is σ = 45845164800. Its totient is φ = 8557581312.

The previous prime is 20051801717. The next prime is 20051801729. The reversal of 20051801728 is 82710815002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20051801693 and 20051801702.

It is not an unprimeable number, because it can be changed into a prime (20051801729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167326 + ... + 260962.

It is an arithmetic number, because the mean of its divisors is an integer number (716330700).

Almost surely, 220051801728 is an apocalyptic number.

20051801728 is a gapful number since it is divisible by the number (28) 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 20051801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22922582400).

20051801728 is an abundant number, since it is smaller than the sum of its proper divisors (25793363072).

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

20051801728 is an equidigital number, since it uses as much as digits as its factorization.

20051801728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93897 (or 93885 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The spelling of 20051801728 in words is "twenty billion, fifty-one million, eight hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 239 448 478 896 956 1673 1912 3346 3824 6692 7648 13384 15296 26768 30592 53536 93637 107072 187274 214144 374548 655459 749096 1310918 1498192 2621836 2996384 5243672 5992768 10487344 11985536 20974688 22379243 41949376 44758486 83898752 89516972 156654701 179033944 313309402 358067888 626618804 716135776 1253237608 1432271552 2506475216 2864543104 5012950432 10025900864 20051801728