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55005055550500 = 22531155191812089
BaseRepresentation
bin11001000000110110111001…
…10011000000010000100100
321012202102122220011222002011
430200123130303000100210
524202200323210104000
6312552550151524004
714404661360563456
oct1440333463002044
9235672586158064
1055005055550500
1116587570974560
126204421989604
13248cc53cc5733
14d8238a5922d6
15655c1b10c2ba
hex3206dccc0424

55005055550500 has 96 divisors (see below), whose sum is σ = 131075863027200. Its totient is φ = 19998203168000.

The previous prime is 55005055550477. The next prime is 55005055550521. The reversal of 55005055550500 is 505555050055.

It is a super-2 number, since 2×550050555505002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 29448456 + ... + 31260544.

It is an arithmetic number, because the mean of its divisors is an integer number (1365373573200).

Almost surely, 255005055550500 is an apocalyptic number.

55005055550500 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 55005055550500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65537931513600).

55005055550500 is an abundant number, since it is smaller than the sum of its proper divisors (76070807476700).

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

55005055550500 is a wasteful number, since it uses less digits than its factorization.

55005055550500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817638 (or 1817626 counting only the distinct ones).

The product of its (nonzero) digits is 390625, while the sum is 40.

It can be divided in two parts, 550050555 and 50500, that added together give a palindrome (550101055).

The spelling of 55005055550500 in words is "fifty-five trillion, five billion, fifty-five million, five hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 2750 5500 5519 11038 22076 27595 55190 60709 110380 121418 137975 242836 275950 303545 551900 607090 689875 1214180 1379750 1517725 1812089 2759500 3035450 3624178 6070900 7248356 7588625 9060445 15177250 18120890 19932979 30354500 36241780 39865958 45302225 79731916 90604450 99664895 181208900 199329790 226511125 398659580 453022250 498324475 906044500 996648950 1993297900 2491622375 4983244750 9966489500 10000919191 20001838382 40003676764 50004595955 100009191910 110010111101 200018383820 220020222202 250022979775 440040444404 500045959550 550050555505 1000091919100 1100101111010 1250114898875 2200202222020 2500229797750 2750252777525 5000459595500 5500505555050 11001011110100 13751263887625 27502527775250 55005055550500