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5106060500 = 2253175211153
BaseRepresentation
bin1001100000101100…
…00100110011010100
3111011211221202012212
410300112010303110
540424122414000
62202400332552
7240350540522
oct46026046324
914154852185
105106060500
112190268912
12ba6014158
13634b14a98
143661cd312
151ed406c35
hex130584cd4

5106060500 has 96 divisors (see below), whose sum is σ = 11840538528. Its totient is φ = 1916928000.

The previous prime is 5106060497. The next prime is 5106060521. The reversal of 5106060500 is 50606015.

It can be written as a sum of positive squares in 16 ways, for example, as 2657196304 + 2448864196 = 51548^2 + 49486^2 .

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4427924 + ... + 4429076.

It is an arithmetic number, because the mean of its divisors is an integer number (123338943).

Almost surely, 25106060500 is an apocalyptic number.

5106060500 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 5106060500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920269264).

5106060500 is an abundant number, since it is smaller than the sum of its proper divisors (6734478028).

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

5106060500 is a wasteful number, since it uses less digits than its factorization.

5106060500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5106060500 is about 71456.7036743230. The cubic root of 5106060500 is about 1721.9821771269.

Adding to 5106060500 its reverse (50606015), we get a palindrome (5156666515).

The spelling of 5106060500 in words is "five billion, one hundred six million, sixty thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 521 850 1042 1153 1700 2084 2125 2306 2605 4250 4612 5210 5765 8500 8857 10420 11530 13025 17714 19601 23060 26050 28825 35428 39202 44285 52100 57650 65125 78404 88570 98005 115300 130250 144125 177140 196010 221425 260500 288250 392020 442850 490025 576500 600713 885700 980050 1107125 1201426 1960100 2214250 2402852 2450125 3003565 4428500 4900250 6007130 9800500 10212121 12014260 15017825 20424242 30035650 40848484 51060605 60071300 75089125 102121210 150178250 204242420 255303025 300356500 510606050 1021212100 1276515125 2553030250 5106060500