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18882020200 = 2352232178469
BaseRepresentation
bin10001100101011101…
…001100001101101000
31210201220212000021111
4101211131030031220
5302132244121300
612401351120104
71235625344401
oct214535141550
953656760244
1018882020200
11800a45427a
1237ab673034
131a1bba0224
14cb1a269a8
15757a329ba
hex46574c368

18882020200 has 72 divisors (see below), whose sum is σ = 45892668150. Its totient is φ = 7224384640.

The previous prime is 18882020189. The next prime is 18882020243. The reversal of 18882020200 is 202028881.

It can be written as a sum of positive squares in 3 ways, for example, as 7502677924 + 11379342276 = 86618^2 + 106674^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16566 + ... + 195034.

Almost surely, 218882020200 is an apocalyptic number.

18882020200 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 18882020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22946334075).

18882020200 is an abundant number, since it is smaller than the sum of its proper divisors (27010647950).

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

18882020200 is a wasteful number, since it uses less digits than its factorization.

18882020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178531 (or 178499 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The spelling of 18882020200 in words is "eighteen billion, eight hundred eighty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 529 575 920 1058 1150 2116 2300 2645 4232 4600 5290 10580 13225 21160 26450 52900 105800 178469 356938 713876 892345 1427752 1784690 3569380 4104787 4461725 7138760 8209574 8923450 16419148 17846900 20523935 32838296 35693800 41047870 82095740 94410101 102619675 164191480 188820202 205239350 377640404 410478700 472050505 755280808 820957400 944101010 1888202020 2360252525 3776404040 4720505050 9441010100 18882020200