Search a number
-
+
54136529172 = 223411217292801
BaseRepresentation
bin110010011010110010…
…011110000100010100
312011201212102121220000
4302122302132010110
51341332422413142
640511525411300
73624360622365
oct623262360424
9164655377800
1054136529172
1120a60728700
12a5aa269b30
135149a54a1b
142897c63b6c
15161cad814c
hexc9ac9e114

54136529172 has 360 divisors, whose sum is σ = 170449975080. Its totient is φ = 14902272000.

The previous prime is 54136529147. The next prime is 54136529203. The reversal of 54136529172 is 27192563145.

54136529172 is a `hidden beast` number, since 5 + 413 + 65 + 2 + 9 + 172 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15167400336 + 38969128836 = 123156^2 + 197406^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19326172 + ... + 19328972.

It is an arithmetic number, because the mean of its divisors is an integer number (473472153).

Almost surely, 254136529172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54136529172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85224987540).

54136529172 is an abundant number, since it is smaller than the sum of its proper divisors (116313445908).

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

54136529172 is a wasteful number, since it uses less digits than its factorization.

54136529172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2863 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 54136529172 in words is "fifty-four billion, one hundred thirty-six million, five hundred twenty-nine thousand, one hundred seventy-two".