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12800000000 = 21558
BaseRepresentation
bin10111110101111000…
…01000000000000000
31020001001110101001002
423322330020000000
5202203300000000
65514044231132
7632124130154
oct137274100000
936031411032
1012800000000
1154792a24a7
12259283b4a8
13128cb176c8
14895d87064
154edae78d5
hex2faf08000

12800000000 has 144 divisors (see below), whose sum is σ = 31999495335. Its totient is φ = 5120000000.

The previous prime is 12799999981. The next prime is 12800000021. The reversal of 12800000000 is 821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 12202295296 + 597704704 = 110464^2 + 24448^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80000.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2559999998 + ... + 2560000002.

Almost surely, 212800000000 is an apocalyptic number.

12800000000 is a gapful number since it is divisible by the number (10) 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 12800000000

12800000000 is an abundant number, since it is smaller than the sum of its proper divisors (19199495335).

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

12800000000 is an frugal number, since it uses more digits than its factorization.

12800000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12800000000 its reverse (821), we get a palindrome (12800000821).

The spelling of 12800000000 in words is "twelve billion, eight hundred million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3125 3200 4000 4096 5000 5120 6250 6400 8000 8192 10000 10240 12500 12800 15625 16000 16384 20000 20480 25000 25600 31250 32000 32768 40000 40960 50000 51200 62500 64000 78125 80000 81920 100000 102400 125000 128000 156250 160000 163840 200000 204800 250000 256000 312500 320000 390625 400000 409600 500000 512000 625000 640000 781250 800000 819200 1000000 1024000 1250000 1280000 1562500 1600000 2000000 2048000 2500000 2560000 3125000 3200000 4000000 4096000 5000000 5120000 6250000 6400000 8000000 10000000 10240000 12500000 12800000 16000000 20000000 20480000 25000000 25600000 32000000 40000000 50000000 51200000 64000000 80000000 100000000 102400000 128000000 160000000 200000000 256000000 320000000 400000000 512000000 640000000 800000000 1280000000 1600000000 2560000000 3200000000 6400000000 12800000000