Search a number
-
+
5006051000 = 235312134127
BaseRepresentation
bin1001010100110001…
…00100011010111000
3110220212202201222022
410222120210122320
540223022113000
62144425014012
7235024505606
oct45230443270
913825681868
105006051000
112139870235
12b78624308
1361a199b72
14356bd8876
151e474e585
hex12a6246b8

5006051000 has 64 divisors (see below), whose sum is σ = 11726657280. Its totient is φ = 2000284800.

The previous prime is 5006050999. The next prime is 5006051041. The reversal of 5006051000 is 1506005.

It is a super-2 number, since 2×50060510002 = 50121093229202000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5006051000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210937 + ... + 1215063.

It is an arithmetic number, because the mean of its divisors is an integer number (183229020).

Almost surely, 25006051000 is an apocalyptic number.

5006051000 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 5006051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863328640).

5006051000 is an abundant number, since it is smaller than the sum of its proper divisors (6720606280).

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

5006051000 is a wasteful number, since it uses less digits than its factorization.

5006051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5361 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5006051000 is about 70753.4522125953. The cubic root of 5006051000 is about 1710.6654728935.

Adding to 5006051000 its reverse (1506005), we get a palindrome (5007557005).

The spelling of 5006051000 in words is "five billion, six million, fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1213 2426 4127 4852 6065 8254 9704 12130 16508 20635 24260 30325 33016 41270 48520 60650 82540 103175 121300 151625 165080 206350 242600 303250 412700 515875 606500 825400 1031750 1213000 2063500 4127000 5006051 10012102 20024204 25030255 40048408 50060510 100121020 125151275 200242040 250302550 500605100 625756375 1001210200 1251512750 2503025500 5006051000