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5510400200 = 23522921812
BaseRepresentation
bin1010010000111001…
…00000100011001000
3112020000210100000022
411020130200203020
542241130301300
62310443000012
7253360425464
oct51034404310
915200710008
105510400200
112378528258
121099509008
1369a815746
143a3ba34a4
15223b76285
hex1487208c8

5510400200 has 108 divisors (see below), whose sum is σ = 13342409145. Its totient is φ = 2116396800.

The previous prime is 5510400173. The next prime is 5510400223. The reversal of 5510400200 is 20040155.

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 14 ways, for example, as 2823221956 + 2687178244 = 53134^2 + 51838^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=52490.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30444110 + ... + 30444290.

Almost surely, 25510400200 is an apocalyptic number.

5510400200 is a gapful number since it is divisible by the number (50) 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 5510400200

5510400200 is an abundant number, since it is smaller than the sum of its proper divisors (7832008945).

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

5510400200 is a wasteful number, since it uses less digits than its factorization.

5510400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 5510400200 is about 74232.0698889638. The cubic root of 5510400200 is about 1766.2860831230.

Multiplying 5510400200 by its product of nonzero digits (200), we get a square (1102080040000 = 10498002).

5510400200 divided by its product of nonzero digits (200) gives a square (27552001 = 52492).

Adding to 5510400200 its reverse (20040155), we get a palindrome (5530440355).

The spelling of 5510400200 in words is "five billion, five hundred ten million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 181 200 232 290 362 580 724 725 841 905 1160 1448 1450 1682 1810 2900 3364 3620 4205 4525 5249 5800 6728 7240 8410 9050 10498 16820 18100 20996 21025 26245 32761 33640 36200 41992 42050 52490 65522 84100 104980 131044 131225 152221 163805 168200 209960 262088 262450 304442 327610 524900 608884 655220 761105 819025 950069 1049800 1217768 1310440 1522210 1638050 1900138 3044420 3276100 3800276 3805525 4750345 6088840 6552200 7600552 7611050 9500690 15222100 19001380 23751725 27552001 30444200 38002760 47503450 55104002 95006900 110208004 137760005 190013800 220416008 275520010 551040020 688800025 1102080040 1377600050 2755200100 5510400200