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5511303400 = 23521910314081
BaseRepresentation
bin1010010000111111…
…11101000011101000
3112020002111012222011
411020133331003220
542241343202100
62310514205304
7253401206641
oct51037750350
915202435864
105511303400
112378a948a9
121099883834
1369aa70895
143a3d5a6c8
15223ca3bba
hex1487fd0e8

5511303400 has 96 divisors (see below), whose sum is σ = 13620110400. Its totient is φ = 2068070400.

The previous prime is 5511303397. The next prime is 5511303407. The reversal of 5511303400 is 43031155.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5511303407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384360 + ... + 398440.

It is an arithmetic number, because the mean of its divisors is an integer number (141876150).

Almost surely, 25511303400 is an apocalyptic number.

5511303400 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 5511303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6810055200).

5511303400 is an abundant number, since it is smaller than the sum of its proper divisors (8108807000).

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

5511303400 is a wasteful number, since it uses less digits than its factorization.

5511303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14219 (or 14210 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5511303400 is about 74238.1532636689. The cubic root of 5511303400 is about 1766.3825807989.

Adding to 5511303400 its reverse (43031155), we get a palindrome (5554334555).

The spelling of 5511303400 in words is "five billion, five hundred eleven million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 103 152 190 200 206 380 412 475 515 760 824 950 1030 1900 1957 2060 2575 3800 3914 4120 5150 7828 9785 10300 14081 15656 19570 20600 28162 39140 48925 56324 70405 78280 97850 112648 140810 195700 267539 281620 352025 391400 535078 563240 704050 1070156 1337695 1408100 1450343 2140312 2675390 2816200 2900686 5350780 5801372 6688475 7251715 10701560 11602744 13376950 14503430 26753900 27556517 29006860 36258575 53507800 55113034 58013720 72517150 110226068 137782585 145034300 220452136 275565170 290068600 551130340 688912925 1102260680 1377825850 2755651700 5511303400