Search a number
-
+
550551306400 = 25521241355441
BaseRepresentation
bin10000000001011110110…
…10100100000010100000
31221122001212102011001221
420000233122210002200
533010012113301100
61100530401104424
754530113614364
oct10005732440240
91848055364057
10550551306400
111a253a950177
128a84a628114
133cbbc1977b4
141c90ac632a4
15e4c3ac801a
hex802f6a40a0

550551306400 has 72 divisors (see below), whose sum is σ = 1344165897564. Its totient is φ = 220198809600.

The previous prime is 550551306373. The next prime is 550551306407. The reversal of 550551306400 is 4603155055.

It can be written as a sum of positive squares in 6 ways, for example, as 132702832656 + 417848473744 = 364284^2 + 646412^2 .

It is not an unprimeable number, because it can be changed into a prime (550551306407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9902680 + ... + 9958120.

Almost surely, 2550551306400 is an apocalyptic number.

550551306400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

550551306400 is an abundant number, since it is smaller than the sum of its proper divisors (793614591164).

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

550551306400 is a wasteful number, since it uses less digits than its factorization.

550551306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67874 (or 67861 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 34.

The spelling of 550551306400 in words is "five hundred fifty billion, five hundred fifty-one million, three hundred six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 12413 24826 49652 55441 62065 99304 110882 124130 198608 221764 248260 277205 310325 397216 443528 496520 554410 620650 887056 993040 1108820 1241300 1386025 1774112 1986080 2217640 2482600 2772050 4435280 4965200 5544100 8870560 9930400 11088200 22176400 44352800 688189133 1376378266 2752756532 3440945665 5505513064 6881891330 11011026128 13763782660 17204728325 22022052256 27527565320 34409456650 55055130640 68818913300 110110261280 137637826600 275275653200 550551306400