Search a number
-
+
53768798161 = 132178372
BaseRepresentation
bin110010000100110111…
…101011111111010001
312010210020110221202221
4302010313223333101
51340104303020121
640411231541041
73612304146331
oct620467537721
9163706427687
1053768798161
11208920a2981
12a50708a781
1350bb801100
14286109d0c1
1515ea69ab41
hexc84debfd1

53768798161 has 9 divisors (see below), whose sum is σ = 58226282481. Its totient is φ = 49629954192.

The previous prime is 53768798119. The next prime is 53768798173. The reversal of 53768798161 is 16189786735.

It can be divided in two parts, 53768 and 798161, that added together give a square (851929 = 9232).

The square root of 53768798161 is 231881.

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

It can be written as a sum of positive squares in 4 ways, for example, as 463761 + 53768334400 = 681^2 + 231880^2 .

It is not a de Polignac number, because 53768798161 - 213 = 53768789969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53768798161.

It is not an unprimeable number, because it can be changed into a prime (53768798861) 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, 3005535 + ... + 3023371.

Almost surely, 253768798161 is an apocalyptic number.

53768798161 is the 231881-st square number.

53768798161 is the 115941-st centered octagonal number.

It is an amenable number.

53768798161 is a deficient number, since it is larger than the sum of its proper divisors (4457484320).

53768798161 is an frugal number, since it uses more digits than its factorization.

53768798161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35700 (or 17850 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 61.

The spelling of 53768798161 in words is "fifty-three billion, seven hundred sixty-eight million, seven hundred ninety-eight thousand, one hundred sixty-one".

Divisors: 1 13 169 17837 231881 3014453 318158569 4136061397 53768798161