Search a number
-
+
5000505050000 = 2455891123709
BaseRepresentation
bin100100011000100010101…
…0100111100001110010000
3122201001011210110022202202
41020301011110330032100
51123412013243100000
614345111133302332
71024163114421125
oct110610524741620
918631153408682
105000505050000
11165877a813059
1268916b0349a8
132a37128c6b15
1413405089474c
158a11bc35dd5
hex48c4553c390

5000505050000 has 120 divisors (see below), whose sum is σ = 12245899415400. Its totient is φ = 1977726080000.

The previous prime is 5000505049999. The next prime is 5000505050039. The reversal of 5000505050000 is 505050005.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4954523967376 + 45981082624 = 2225876^2 + 214432^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 3888146 + ... + 5011854.

It is an arithmetic number, because the mean of its divisors is an integer number (102049161795).

Almost surely, 25000505050000 is an apocalyptic number.

5000505050000 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 5000505050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122949707700).

5000505050000 is an abundant number, since it is smaller than the sum of its proper divisors (7245394365400).

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

5000505050000 is an equidigital number, since it uses as much as digits as its factorization.

5000505050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123831 (or 1123805 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 20.

The spelling of 5000505050000 in words is "five trillion, five hundred five million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 625 712 890 1000 1250 1424 1780 2000 2225 2500 3125 3560 4450 5000 6250 7120 8900 10000 11125 12500 17800 22250 25000 35600 44500 50000 55625 89000 111250 178000 222500 278125 445000 556250 890000 1112500 1123709 2225000 2247418 4450000 4494836 5618545 8989672 11237090 17979344 22474180 28092725 44948360 56185450 89896720 100010101 112370900 140463625 200020202 224741800 280927250 400040404 449483600 500050505 561854500 702318125 800080808 1000101010 1123709000 1404636250 1600161616 2000202020 2247418000 2500252525 2809272500 3511590625 4000404040 5000505050 5618545000 7023181250 8000808080 10001010100 11237090000 12501262625 14046362500 20002020200 25002525250 28092725000 40004040400 50005050500 56185450000 62506313125 100010101000 125012626250 200020202000 250025252500 312531565625 500050505000 625063131250 1000101010000 1250126262500 2500252525000 5000505050000