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550005500500 = 22532414619901
BaseRepresentation
bin10000000000011101110…
…00011110101001010100
31221120122211101100010121
420000032320132221110
533002402402004000
61100400302401324
754510435421501
oct10001670365124
91846584340117
10550005500500
111a228a848115
128a717890244
133cb33095321
141c8985864a8
15e490c12b1a
hex800ee1ea54

550005500500 has 96 divisors (see below), whose sum is σ = 1208934863136. Its totient is φ = 218592000000.

The previous prime is 550005500459. The next prime is 550005500509. The reversal of 550005500500 is 5005500055.

It can be written as a sum of positive squares in 16 ways, for example, as 209899589904 + 340105910596 = 458148^2 + 583186^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550005500509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55545550 + ... + 55555450.

It is an arithmetic number, because the mean of its divisors is an integer number (12593071491).

Almost surely, 2550005500500 is an apocalyptic number.

550005500500 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 550005500500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604467431568).

550005500500 is an abundant number, since it is smaller than the sum of its proper divisors (658929362636).

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

550005500500 is a wasteful number, since it uses less digits than its factorization.

550005500500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10622 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 25.

The spelling of 550005500500 in words is "five hundred fifty billion, five million, five hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 241 250 461 482 500 922 964 1205 1844 2305 2410 4610 4820 6025 9220 9901 11525 12050 19802 23050 24100 30125 39604 46100 49505 57625 60250 99010 111101 115250 120500 198020 222202 230500 247525 444404 495050 555505 990100 1111010 1237625 2222020 2386141 2475250 2777525 4564361 4772282 4950500 5555050 9128722 9544564 11110100 11930705 13887625 18257444 22821805 23861410 27775250 45643610 47722820 55550500 59653525 91287220 114109025 119307050 228218050 238614100 298267625 456436100 570545125 596535250 1100011001 1141090250 1193070500 2200022002 2282180500 4400044004 5500055005 11000110010 22000220020 27500275025 55000550050 110001100100 137501375125 275002750250 550005500500