Search a number
-
+
48967936369 = 112201172
BaseRepresentation
bin101101100110101101…
…110110100101110001
311200101122210220110221
4231212231312211301
51300241242430434
634255012453041
73352320406612
oct554655664561
9150348726427
1048967936369
111984913a400
1295a731a181
134804cb74a1
142527637c09
151418e7d2b4
hexb66b76971

48967936369 has 9 divisors (see below), whose sum is σ = 53826936331. Its totient is φ = 44514092920.

The previous prime is 48967936337. The next prime is 48967936379. The reversal of 48967936369 is 96363976984.

The square root of 48967936369 is 221287.

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

It can be written as a sum of positive squares in only one way, i.e., 10163664225 + 38804272144 = 100815^2 + 196988^2 .

It is not a de Polignac number, because 48967936369 - 25 = 48967936337 is a prime.

It is a super-4 number, since 4×489679363694 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48967936298 and 48967936307.

It is not an unprimeable number, because it can be changed into a prime (48967936379) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2424099 + ... + 2444215.

Almost surely, 248967936369 is an apocalyptic number.

48967936369 is the 221287-th square number.

48967936369 is the 110644-th centered octagonal number.

It is an amenable number.

48967936369 is a deficient number, since it is larger than the sum of its proper divisors (4858999962).

48967936369 is an frugal number, since it uses more digits than its factorization.

48967936369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40256 (or 20128 counting only the distinct ones).

The product of its digits is 317447424, while the sum is 70.

The spelling of 48967936369 in words is "forty-eight billion, nine hundred sixty-seven million, nine hundred thirty-six thousand, three hundred sixty-nine".

Divisors: 1 11 121 20117 221287 2434157 404693689 4451630579 48967936369