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20051144000 = 265323910487
BaseRepresentation
bin10010101011001001…
…000010110101000000
31220202101202122121222
4102223021002311000
5312031043102000
613113353334212
71306612624526
oct225311026500
956671678558
1020051144000
11855a391298
123a77107368
131b77173964
14d82dda316
157c54bea85
hex4ab242d40

20051144000 has 112 divisors (see below), whose sum is σ = 49869181440. Its totient is φ = 7986137600.

The previous prime is 20051143997. The next prime is 20051144027. The reversal of 20051144000 is 44115002.

It is a self number, because there is not a number n which added to its sum of digits gives 20051144000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1906757 + ... + 1917243.

Almost surely, 220051144000 is an apocalyptic number.

20051144000 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 20051144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934590720).

20051144000 is an abundant number, since it is smaller than the sum of its proper divisors (29818037440).

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

20051144000 is a wasteful number, since it uses less digits than its factorization.

20051144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10753 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 20051144000 its reverse (44115002), we get a palindrome (20095259002).

The spelling of 20051144000 in words is "twenty billion, fifty-one million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 239 250 320 400 478 500 800 956 1000 1195 1600 1912 2000 2390 3824 4000 4780 5975 7648 8000 9560 10487 11950 15296 19120 20974 23900 29875 38240 41948 47800 52435 59750 76480 83896 95600 104870 119500 167792 191200 209740 239000 262175 335584 382400 419480 478000 524350 671168 838960 956000 1048700 1310875 1677920 1912000 2097400 2506393 2621750 3355840 4194800 5012786 5243500 8389600 10025572 10487000 12531965 16779200 20051144 20974000 25063930 40102288 41948000 50127860 62659825 80204576 83896000 100255720 125319650 160409152 200511440 250639300 313299125 401022880 501278600 626598250 802045760 1002557200 1253196500 2005114400 2506393000 4010228800 5012786000 10025572000 20051144000