Search a number
-
+
48132135288 = 23325312613243
BaseRepresentation
bin101100110100111001…
…100001100101111000
311121020102002210221100
4230310321201211320
51242033311312123
634040034411400
73322521254016
oct546471414570
9147212083840
1048132135288
111945a376706
1293b3430b60
134700aab033
14248862d8b6
1513ba8d3643
hexb34e61978

48132135288 has 48 divisors (see below), whose sum is σ = 132817459320. Its totient is φ = 15741326016.

The previous prime is 48132135281. The next prime is 48132135323. The reversal of 48132135288 is 88253123184.

48132135288 is a `hidden beast` number, since 4 + 81 + 32 + 13 + 528 + 8 = 666.

48132135288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48132135281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6302806 + ... + 6310437.

Almost surely, 248132135288 is an apocalyptic number.

It is an amenable number.

48132135288 is an abundant number, since it is smaller than the sum of its proper divisors (84685324032).

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

48132135288 is a wasteful number, since it uses less digits than its factorization.

48132135288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12613308 (or 12613301 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 48132135288 in words is "forty-eight billion, one hundred thirty-two million, one hundred thirty-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 12613243 25226486 37839729 50452972 75679458 100905944 113519187 151358916 227038374 302717832 454076748 668501879 908153496 1337003758 2005505637 2674007516 4011011274 5348015032 6016516911 8022022548 12033033822 16044045096 24066067644 48132135288