Search a number
-
+
5006601000 = 233253556289
BaseRepresentation
bin1001010100110101…
…01010101100101000
3110220220210200102200
410222122222230220
540223142213000
62144444500200
7235032256242
oct45232525450
913826720380
105006601000
11213a106485
12b7884a660
1361a3302cb
14356cdd092
151e480c500
hex12a6aab28

5006601000 has 96 divisors (see below), whose sum is σ = 16922341800. Its totient is φ = 1335091200.

The previous prime is 5006600993. The next prime is 5006601011. The reversal of 5006601000 is 1066005.

5006601000 is a `hidden beast` number, since 5 + 0 + 0 + 660 + 1 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 854860644 + 4151740356 = 29238^2 + 64434^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269145 + ... + 287144.

Almost surely, 25006601000 is an apocalyptic number.

5006601000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5006601000 is an abundant number, since it is smaller than the sum of its proper divisors (11915740800).

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

5006601000 is a wasteful number, since it uses less digits than its factorization.

5006601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556316 (or 556299 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5006601000 is about 70757.3388419887. The cubic root of 5006601000 is about 1710.7281191826.

Adding to 5006601000 its reverse (1066005), we get a palindrome (5007667005).

The spelling of 5006601000 in words is "five billion, six million, six hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 556289 1112578 1668867 2225156 2781445 3337734 4450312 5006601 5562890 6675468 8344335 10013202 11125780 13350936 13907225 16688670 20026404 22251560 25033005 27814450 33377340 40052808 41721675 50066010 55628900 66754680 69536125 83443350 100132020 111257800 125165025 139072250 166886700 200264040 208608375 250330050 278144500 333773400 417216750 500660100 556289000 625825125 834433500 1001320200 1251650250 1668867000 2503300500 5006601000