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20436124000 = 255316730593
BaseRepresentation
bin10011000010000101…
…101000000101100000
31221202020011122220111
4103002011220011200
5313323121432000
613215505021104
71322266121305
oct230205500540
957666148814
1020436124000
118737728486
123b64024794
131c08b56786
14dbc1b10ac
157e91b7cba
hex4c2168160

20436124000 has 96 divisors (see below), whose sum is σ = 50513875776. Its totient is φ = 8125235200.

The previous prime is 20436123989. The next prime is 20436124021. The reversal of 20436124000 is 42163402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652704 + ... + 683296.

It is an arithmetic number, because the mean of its divisors is an integer number (526186206).

Almost surely, 220436124000 is an apocalyptic number.

20436124000 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 20436124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25256937888).

20436124000 is an abundant number, since it is smaller than the sum of its proper divisors (30077751776).

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

20436124000 is a wasteful number, since it uses less digits than its factorization.

20436124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30785 (or 30767 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 20436124000 its reverse (42163402), we get a palindrome (20478287402).

The spelling of 20436124000 in words is "twenty billion, four hundred thirty-six million, one hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 167 200 250 334 400 500 668 800 835 1000 1336 1670 2000 2672 3340 4000 4175 5344 6680 8350 13360 16700 20875 26720 30593 33400 41750 61186 66800 83500 122372 133600 152965 167000 244744 305930 334000 489488 611860 668000 764825 978976 1223720 1529650 2447440 3059300 3824125 4894880 5109031 6118600 7648250 10218062 12237200 15296500 20436124 24474400 25545155 30593000 40872248 51090310 61186000 81744496 102180620 122372000 127725775 163488992 204361240 255451550 408722480 510903100 638628875 817444960 1021806200 1277257750 2043612400 2554515500 4087224800 5109031000 10218062000 20436124000