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20050000000 = 2758401
BaseRepresentation
bin10010101011000100…
…101011100010000000
31220202022121112100121
4102223010223202000
5312030300000000
613113313030024
71306600121332
oct225304534200
956668545317
1020050000000
11855977a838
123a76855314
131b76b63034
14d82bbd452
157c5345b1a
hex4ab12b880

20050000000 has 144 divisors (see below), whose sum is σ = 50053685310. Its totient is φ = 8000000000.

The previous prime is 20049999989. The next prime is 20050000001. The reversal of 20050000000 is 5002.

It can be written as a sum of positive squares in 9 ways, for example, as 19490393664 + 559606336 = 139608^2 + 23656^2 .

It is a sliding number, since 20050000000 = 50000000 + 20000000000 and 1/50000000 + 1/20000000000 = 0.000000020050000000.

It is not an unprimeable number, because it can be changed into a prime (20050000001) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 49999800 + ... + 50000200.

Almost surely, 220050000000 is an apocalyptic number.

20050000000 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 20050000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25026842655).

20050000000 is an abundant number, since it is smaller than the sum of its proper divisors (30003685310).

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

20050000000 is an frugal number, since it uses more digits than its factorization.

20050000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 408 counting only the distinct ones).

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

Adding to 20050000000 its reverse (5002), we get a palindrome (20050005002).

It can be divided in two parts, 200 and 50000000, that multiplied together give a 10-th power (10000000000 = 1010).

The spelling of 20050000000 in words is "twenty billion, fifty 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 80 100 125 128 160 200 250 320 400 401 500 625 640 800 802 1000 1250 1600 1604 2000 2005 2500 3125 3200 3208 4000 4010 5000 6250 6416 8000 8020 10000 10025 12500 12832 15625 16000 16040 20000 20050 25000 25664 31250 32080 40000 40100 50000 50125 51328 62500 64160 78125 80000 80200 100000 100250 125000 128320 156250 160400 200000 200500 250000 250625 256640 312500 320800 390625 400000 401000 500000 501250 625000 641600 781250 802000 1000000 1002500 1250000 1253125 1283200 1562500 1604000 2000000 2005000 2500000 2506250 3125000 3208000 4010000 5000000 5012500 6250000 6265625 6416000 8020000 10000000 10025000 12500000 12531250 16040000 20050000 25000000 25062500 31328125 32080000 40100000 50000000 50125000 62656250 80200000 100250000 125312500 156640625 160400000 200500000 250625000 313281250 401000000 501250000 626562500 802000000 1002500000 1253125000 2005000000 2506250000 4010000000 5012500000 10025000000 20050000000