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48939615729 = 3237219932
BaseRepresentation
bin101101100101000001…
…110100010111110001
311200022200112001212100
4231211001310113301
51300212020200404
634252121451013
73351524604264
oct554501642761
9150280461770
1048939615729
1119834156714
129599940a69
1347cc17ca04
142523984cdb
151416736d39
hexb650745f1

48939615729 has 27 divisors (see below), whose sum is σ = 72689220513. Its totient is φ = 31728687552.

The previous prime is 48939615727. The next prime is 48939615839. The reversal of 48939615729 is 92751693984.

The square root of 48939615729 is 221223.

It is a perfect power (a square), and thus also a powerful number.

48939615729 is a `hidden beast` number, since 4 + 8 + 9 + 3 + 9 + 615 + 7 + 2 + 9 = 666.

48939615729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20127948129 + 28811667600 = 141873^2 + 169740^2 .

It is not a de Polignac number, because 48939615729 - 21 = 48939615727 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48939615721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24554757 + ... + 24556749.

Almost surely, 248939615729 is an apocalyptic number.

48939615729 is the 221223-rd square number.

48939615729 is the 110612-nd centered octagonal number.

It is an amenable number.

48939615729 is a deficient number, since it is larger than the sum of its proper divisors (23749604784).

48939615729 is an frugal number, since it uses more digits than its factorization.

48939615729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 2033 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 48939615729 in words is "forty-eight billion, nine hundred thirty-nine million, six hundred fifteen thousand, seven hundred twenty-nine".

Divisors: 1 3 9 37 111 333 1369 1993 4107 5979 12321 17937 73741 221223 663669 2728417 3972049 8185251 11916147 24555753 35748441 146965813 440897439 1322692317 5437735081 16313205243 48939615729