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20413411000 = 23531091371367
BaseRepresentation
bin10011000000101110…
…111110111010111000
31221200122102201112021
4103000232332322320
5313301313123000
613213334124224
71321602062533
oct230056767270
957618381467
1020413411000
118725924904
123b584b0674
131c04233528
14db917ba1a
157e71cd11a
hex4c0bbeeb8

20413411000 has 128 divisors (see below), whose sum is σ = 48593001600. Its totient is φ = 8025523200.

The previous prime is 20413410989. The next prime is 20413411009. The reversal of 20413411000 is 11431402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413411009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14932317 + ... + 14933683.

It is an arithmetic number, because the mean of its divisors is an integer number (379632825).

Almost surely, 220413411000 is an apocalyptic number.

20413411000 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 20413411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24296500800).

20413411000 is an abundant number, since it is smaller than the sum of its proper divisors (28179590600).

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

20413411000 is a wasteful number, since it uses less digits than its factorization.

20413411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20413411000 its reverse (11431402), we get a palindrome (20424842402).

The spelling of 20413411000 in words is "twenty billion, four hundred thirteen million, four hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 137 200 218 250 274 436 500 545 548 685 872 1000 1090 1096 1367 1370 2180 2725 2734 2740 3425 4360 5450 5468 5480 6835 6850 10900 10936 13625 13670 13700 14933 17125 21800 27250 27340 27400 29866 34175 34250 54500 54680 59732 68350 68500 74665 109000 119464 136700 137000 149003 149330 170875 187279 273400 298006 298660 341750 373325 374558 596012 597320 683500 745015 746650 749116 936395 1192024 1367000 1490030 1493300 1498232 1866625 1872790 2980060 2986600 3725075 3733250 3745580 4681975 5960120 7450150 7466500 7491160 9363950 14900300 14933000 18625375 18727900 20413411 23409875 29800600 37250750 37455800 40826822 46819750 74501500 81653644 93639500 102067055 149003000 163307288 187279000 204134110 408268220 510335275 816536440 1020670550 2041341100 2551676375 4082682200 5103352750 10206705500 20413411000