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18274010200 = 2352314217001
BaseRepresentation
bin10001000001001101…
…110100010001011000
31202011112202220100121
4101001031310101120
5244411121311300
612221151243024
71214563344445
oct210115642130
952145686317
1018274010200
117828225376
12365bb19474
131952c2b7b4
14c54d969cc
1571e48181a
hex441374458

18274010200 has 96 divisors (see below), whose sum is σ = 43968078720. Its totient is φ = 7056000000.

The previous prime is 18274010197. The next prime is 18274010201. The reversal of 18274010200 is 201047281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18274010201) 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 23 ways as a sum of consecutive naturals, for example, 2606700 + ... + 2613700.

It is an arithmetic number, because the mean of its divisors is an integer number (458000820).

Almost surely, 218274010200 is an apocalyptic number.

18274010200 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 18274010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21984039360).

18274010200 is an abundant number, since it is smaller than the sum of its proper divisors (25694068520).

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

18274010200 is a wasteful number, since it uses less digits than its factorization.

18274010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 18274010200 its reverse (201047281), we get a palindrome (18475057481).

The spelling of 18274010200 in words is "eighteen billion, two hundred seventy-four million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 421 620 775 842 1240 1550 1684 2105 3100 3368 4210 6200 7001 8420 10525 13051 14002 16840 21050 26102 28004 35005 42100 52204 56008 65255 70010 84200 104408 130510 140020 175025 217031 261020 280040 326275 350050 434062 522040 652550 700100 868124 1085155 1305100 1400200 1736248 2170310 2610200 2947421 4340620 5425775 5894842 8681240 10851550 11789684 14737105 21703100 23579368 29474210 43406200 58948420 73685525 91370051 117896840 147371050 182740102 294742100 365480204 456850255 589484200 730960408 913700510 1827401020 2284251275 3654802040 4568502550 9137005100 18274010200