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20006500000 = 255640013
BaseRepresentation
bin10010101000011110…
…101111011010100000
31220122021202111120111
4102220132233122200
5311433131000000
613105120421104
71305531305224
oct225036573240
956567674514
1020006500000
118537169623
123a64177794
131b6ab423a6
14d7b0d8784
157c1601cba
hex4a87af6a0

20006500000 has 84 divisors (see below), whose sum is σ = 49235346342. Its totient is φ = 8002400000.

The previous prime is 20006499979. The next prime is 20006500001. The reversal of 20006500000 is 560002.

It can be written as a sum of positive squares in 7 ways, for example, as 11362707216 + 8643792784 = 106596^2 + 92972^2 .

It is not an unprimeable number, because it can be changed into a prime (20006500001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 479994 + ... + 520006.

Almost surely, 220006500000 is an apocalyptic number.

20006500000 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 20006500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24617673171).

20006500000 is an abundant number, since it is smaller than the sum of its proper divisors (29228846342).

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

20006500000 is an frugal number, since it uses more digits than its factorization.

20006500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40053 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The spelling of 20006500000 in words is "twenty billion, six million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 15625 20000 25000 31250 40013 50000 62500 80026 100000 125000 160052 200065 250000 320104 400130 500000 640208 800260 1000325 1280416 1600520 2000650 3201040 4001300 5001625 6402080 8002600 10003250 16005200 20006500 25008125 32010400 40013000 50016250 80026000 100032500 125040625 160052000 200065000 250081250 400130000 500162500 625203125 800260000 1000325000 1250406250 2000650000 2500812500 4001300000 5001625000 10003250000 20006500000