Search a number
-
+
5006050000 = 2455714303
BaseRepresentation
bin1001010100110001…
…00100001011010000
3110220212202200121021
410222120210023100
540223022100000
62144425005224
7235024502650
oct45230441320
913825680537
105006050000
11213986a506
12b78623814
1361a199583
14356bd8360
151e474e11a
hex12a6242d0

5006050000 has 120 divisors (see below), whose sum is σ = 13856113152. Its totient is φ = 1716240000.

The previous prime is 5006049967. The next prime is 5006050001. The reversal of 5006050000 is 506005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006050001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342849 + ... + 357151.

Almost surely, 25006050000 is an apocalyptic number.

5006050000 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 5006050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928056576).

5006050000 is an abundant number, since it is smaller than the sum of its proper divisors (8850063152).

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

5006050000 is an equidigital number, since it uses as much as digits as its factorization.

5006050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14343 (or 14317 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 5006050000 is about 70753.4451458019. The cubic root of 5006050000 is about 1710.6653589869.

Adding to 5006050000 its reverse (506005), we get a palindrome (5006556005).

It can be divided in two parts, 500 and 6050000, that multiplied together give a square (3025000000 = 550002).

The spelling of 5006050000 in words is "five billion, six million, fifty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3125 3500 4375 5000 6250 7000 8750 10000 12500 14000 14303 17500 21875 25000 28606 35000 43750 50000 57212 70000 71515 87500 100121 114424 143030 175000 200242 228848 286060 350000 357575 400484 500605 572120 715150 800968 1001210 1144240 1430300 1601936 1787875 2002420 2503025 2860600 3575750 4004840 5006050 5721200 7151500 8009680 8939375 10012100 12515125 14303000 17878750 20024200 25030250 28606000 35757500 40048400 44696875 50060500 62575625 71515000 89393750 100121000 125151250 143030000 178787500 200242000 250302500 312878125 357575000 500605000 625756250 715150000 1001210000 1251512500 2503025000 5006050000