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20005000000 = 26574001
BaseRepresentation
bin10010101000011001…
…000001001101000000
31220122011221021221221
4102220121001031000
5311432240000000
613105024324424
71305512460106
oct225031011500
956564837857
1020005000000
118536334657
123a63773714
131b6a73870b
14d7ac27c76
157c140761a
hex4a8641340

20005000000 has 112 divisors (see below), whose sum is σ = 49634052624. Its totient is φ = 8000000000.

The previous prime is 20004999997. The next prime is 20005000013. The reversal of 20005000000 is 50002.

It can be written as a sum of positive squares in 8 ways, for example, as 9939292416 + 10065707584 = 99696^2 + 100328^2 .

It is a sliding number, since 20005000000 = 5000000 + 20000000000 and 1/5000000 + 1/20000000000 = 0.00000020005000000.

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, 4998000 + ... + 5002000.

Almost surely, 220005000000 is an apocalyptic number.

20005000000 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 20005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24817026312).

20005000000 is an abundant number, since it is smaller than the sum of its proper divisors (29629052624).

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

20005000000 is an frugal number, since it uses more digits than its factorization.

20005000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

Adding to 20005000000 its reverse (50002), we get a palindrome (20005050002).

It can be divided in two parts, 2000 and 5000000, that multiplied together give a 10-th power (10000000000 = 1010).

The spelling of 20005000000 in words is "twenty billion, five million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 4001 5000 6250 8000 8002 10000 12500 15625 16004 20000 20005 25000 31250 32008 40000 40010 50000 62500 64016 78125 80020 100000 100025 125000 128032 156250 160040 200000 200050 250000 256064 312500 320080 400100 500000 500125 625000 640160 800200 1000000 1000250 1250000 1280320 1600400 2000500 2500000 2500625 3200800 4001000 5000000 5001250 6401600 8002000 10002500 12503125 16004000 20005000 25006250 32008000 40010000 50012500 62515625 80020000 100025000 125031250 160040000 200050000 250062500 312578125 400100000 500125000 625156250 800200000 1000250000 1250312500 2000500000 2500625000 4001000000 5001250000 10002500000 20005000000