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5055560100 = 22325235315913
BaseRepresentation
bin1001011010101010…
…11011100110100100
3111001022221001200200
410231111123212210
540323210410400
62153354110500
7236165360163
oct45525334644
914038831620
105055560100
112164806148
12b9111b430
136275129a6
1435d6053da
151e8c7db00
hex12d55b9a4

5055560100 has 108 divisors (see below), whose sum is σ = 15892261476. Its totient is φ = 1344245760.

The previous prime is 5055560093. The next prime is 5055560137. The reversal of 5055560100 is 10655505.

5055560100 is a `hidden beast` number, since 5 + 0 + 5 + 55 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2056356 + 5053503744 = 1434^2 + 71088^2 .

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 35 ways as a sum of consecutive naturals, for example, 309744 + ... + 325656.

Almost surely, 25055560100 is an apocalyptic number.

5055560100 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 5055560100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946130738).

5055560100 is an abundant number, since it is smaller than the sum of its proper divisors (10836701376).

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

5055560100 is a wasteful number, since it uses less digits than its factorization.

5055560100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16286 (or 16276 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 5055560100 is about 71102.4619826909. The cubic root of 5055560100 is about 1716.2863924495.

The spelling of 5055560100 in words is "five billion, fifty-five million, five hundred sixty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 353 450 706 900 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 8825 10590 12708 15885 15913 17650 21180 26475 31770 31826 35300 47739 52950 63540 63652 79425 79565 95478 105900 143217 158850 159130 190956 238695 286434 317700 318260 397825 477390 572868 716085 795650 954780 1193475 1432170 1591300 2386950 2864340 3580425 4773900 5617289 7160850 11234578 14321700 16851867 22469156 28086445 33703734 50555601 56172890 67407468 84259335 101111202 112345780 140432225 168518670 202222404 252778005 280864450 337037340 421296675 505556010 561728900 842593350 1011112020 1263890025 1685186700 2527780050 5055560100