Search a number
-
+
54115117056 = 21132721113419
BaseRepresentation
bin110010011001100000…
…110010100000000000
312011200101010202222200
4302121200302200000
51341311432221211
640505442433200
73624010622400
oct623140624000
9164611122880
1054115117056
1120a4a633440
12a5a3062800
135145498930
14289508c800
15161aca8b56
hexc99832800

54115117056 has 864 divisors, whose sum is σ = 214106911200. Its totient is φ = 12943687680.

The previous prime is 54115117013. The next prime is 54115117057. The reversal of 54115117056 is 65071151145.

54115117056 is a `hidden beast` number, since 541 + 1 + 51 + 17 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54115117056.

It is not an unprimeable number, because it can be changed into a prime (54115117057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129152815 + ... + 129153233.

It is an arithmetic number, because the mean of its divisors is an integer number (247808925).

Almost surely, 254115117056 is an apocalyptic number.

54115117056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54115117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107053455600).

54115117056 is an abundant number, since it is smaller than the sum of its proper divisors (159991794144).

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

54115117056 is a wasteful number, since it uses less digits than its factorization.

54115117056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

It can be divided in two parts, 54115 and 117056, that added together give a palindrome (171171).

The spelling of 54115117056 in words is "fifty-four billion, one hundred fifteen million, one hundred seventeen thousand, fifty-six".