Search a number
-
+
48318199956 = 223213103244017
BaseRepresentation
bin101100111111111111…
…010011100010010100
311121201101012212200100
4230333333103202110
51242423424344311
634110322414100
73330240631425
oct547777234224
9147641185610
1048318199956
1119545400864
129445801330
1347304c6480
1424a522564c
1513cbdd8a56
hexb3ffd3894

48318199956 has 36 divisors (see below), whose sum is σ = 131532878932. Its totient is φ = 14867138304.

The previous prime is 48318199949. The next prime is 48318199973. The reversal of 48318199956 is 65999181384.

48318199956 is a `hidden beast` number, since 48 + 318 + 199 + 95 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30246775056 + 18071424900 = 173916^2 + 134430^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 48318199893 and 48318199902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51621541 + ... + 51622476.

Almost surely, 248318199956 is an apocalyptic number.

It is an amenable number.

48318199956 is an abundant number, since it is smaller than the sum of its proper divisors (83214678976).

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

48318199956 is a wasteful number, since it uses less digits than its factorization.

48318199956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103244040 (or 103244035 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 48318199956 in words is "forty-eight billion, three hundred eighteen million, one hundred ninety-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 103244017 206488034 309732051 412976068 619464102 929196153 1238928204 1342172221 1858392306 2684344442 3716784612 4026516663 5368688884 8053033326 12079549989 16106066652 24159099978 48318199956