Search a number
-
+
5505166500 = 2235331111801
BaseRepresentation
bin1010010000010001…
…00010110010100100
3112012122221102201120
411020020202302210
542233310312000
62310134453540
7253265100051
oct51010426244
915178842646
105505166500
112375583089
1210978042b0
13699702492
143a3200028
152234906a0
hex148222ca4

5505166500 has 96 divisors (see below), whose sum is σ = 16083954432. Its totient is φ = 1463200000.

The previous prime is 5505166493. The next prime is 5505166517. The reversal of 5505166500 is 56615055.

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 31 ways as a sum of consecutive naturals, for example, 460600 + ... + 472400.

It is an arithmetic number, because the mean of its divisors is an integer number (167541192).

Almost surely, 25505166500 is an apocalyptic number.

5505166500 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 5505166500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8041977216).

5505166500 is an abundant number, since it is smaller than the sum of its proper divisors (10578787932).

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

5505166500 is a wasteful number, since it uses less digits than its factorization.

5505166500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12134 (or 12122 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 5505166500 is about 74196.8092305862. The cubic root of 5505166500 is about 1765.7267081620.

The spelling of 5505166500 in words is "five billion, five hundred five million, one hundred sixty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 311 375 500 622 750 933 1244 1500 1555 1866 3110 3732 4665 6220 7775 9330 11801 15550 18660 23325 23602 31100 35403 38875 46650 47204 59005 70806 77750 93300 116625 118010 141612 155500 177015 233250 236020 295025 354030 466500 590050 708060 885075 1180100 1475125 1770150 2950250 3540300 3670111 4425375 5900500 7340222 8850750 11010333 14680444 17701500 18350555 22020666 36701110 44041332 55051665 73402220 91752775 110103330 183505550 220206660 275258325 367011100 458763875 550516650 917527750 1101033300 1376291625 1835055500 2752583250 5505166500