Search a number
-
+
51005060605604 = 2272537253676961
BaseRepresentation
bin10111001100011100010101…
…00001001110011010100100
320200121000222101000002110002
423212032022201032122210
523141131331003334404
6300251222410120432
713512664643543300
oct1346161241163244
9220530871002402
1051005060605604
1115285141015966
125879157720118
13225c9ab279bb1
14c8492dbaad00
155d6b5a7eec1e
hex2e638a84e6a4

51005060605604 has 72 divisors (see below), whose sum is σ = 105805561870008. Its totient is φ = 21443883202560.

The previous prime is 51005060605567. The next prime is 51005060605627. The reversal of 51005060605604 is 40650606050015.

It can be written as a sum of positive squares in 4 ways, for example, as 12213962543104 + 38791098062500 = 3494848^2 + 6228250^2 .

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, 75005684 + ... + 75682644.

It is an arithmetic number, because the mean of its divisors is an integer number (1469521692639).

Almost surely, 251005060605604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51005060605604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52902780935004).

51005060605604 is an abundant number, since it is smaller than the sum of its proper divisors (54800501264404).

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

51005060605604 is a wasteful number, since it uses less digits than its factorization.

51005060605604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684285 (or 684276 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

Adding to 51005060605604 its reverse (40650606050015), we get a palindrome (91655666655619).

The spelling of 51005060605604 in words is "fifty-one trillion, five billion, sixty million, six hundred five thousand, six hundred four".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 2597 5194 7253 10388 14506 29012 50771 101542 203084 355397 384409 676961 710794 768818 1353922 1421588 1537636 2690863 2707844 4738727 5381726 9477454 10763452 18836041 18954908 33171089 35878933 37672082 66342178 71757866 75344164 132684356 143515732 251152531 502305062 1004610124 1758067717 3516135434 4909998133 7032270868 9819996266 19639992532 34369986931 68739973862 137479947724 240589908517 260229901049 481179817034 520459802098 962359634068 1040919604196 1821609307343 3643218614686 7286437229372 12751265151401 25502530302802 51005060605604