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18280000000 = 2957457
BaseRepresentation
bin10001000001100100…
…101010101000000000
31202011222001012211001
4101001210222220000
5244414140000000
612221523501344
71214665302433
oct210144525000
952158035731
1018280000000
117830646619
123661b27854
131954247c62
14c55ab581a
1571ec6646a
hex44192aa00

18280000000 has 160 divisors (see below), whose sum is σ = 45755156304. Its totient is φ = 7296000000.

The previous prime is 18279999979. The next prime is 18280000001. The reversal of 18280000000 is 8281.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14181951744 + 4098048256 = 119088^2 + 64016^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (18280000001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39999772 + ... + 40000228.

Almost surely, 218280000000 is an apocalyptic number.

18280000000 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 18280000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22877578152).

18280000000 is an abundant number, since it is smaller than the sum of its proper divisors (27475156304).

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

18280000000 is an frugal number, since it uses more digits than its factorization.

18280000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 18280000000 its reverse (8281), we get a palindrome (18280008281).

The spelling of 18280000000 in words is "eighteen billion, two hundred eighty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 457 500 512 625 640 800 914 1000 1250 1280 1600 1828 2000 2285 2500 2560 3125 3200 3656 4000 4570 5000 6250 6400 7312 8000 9140 10000 11425 12500 12800 14624 15625 16000 18280 20000 22850 25000 29248 31250 32000 36560 40000 45700 50000 57125 58496 62500 64000 73120 78125 80000 91400 100000 114250 116992 125000 146240 156250 160000 182800 200000 228500 233984 250000 285625 292480 312500 320000 365600 400000 457000 500000 571250 584960 625000 731200 800000 914000 1000000 1142500 1169920 1250000 1428125 1462400 1600000 1828000 2000000 2285000 2500000 2856250 2924800 3656000 4000000 4570000 5000000 5712500 5849600 7140625 7312000 8000000 9140000 10000000 11425000 14281250 14624000 18280000 20000000 22850000 28562500 29248000 35703125 36560000 40000000 45700000 57125000 71406250 73120000 91400000 114250000 142812500 146240000 182800000 228500000 285625000 365600000 457000000 571250000 731200000 914000000 1142500000 1828000000 2285000000 3656000000 4570000000 9140000000 18280000000