Search a number
-
+
48272108544 = 21033112367103
BaseRepresentation
bin101100111101001111…
…011110110000000000
311121121011111012011000
4230331033132300000
51242330124433134
634101554452000
73326141103222
oct547517366000
9147534435130
1048272108544
111952138a690
129432294000
134723aa914a
14249d068412
1513c7d31e99
hexb3d3dec00

48272108544 has 704 divisors, whose sum is σ = 166767943680. Its totient is φ = 13649264640.

The previous prime is 48272108537. The next prime is 48272108581. The reversal of 48272108544 is 44580127284.

48272108544 is a `hidden beast` number, since 4 + 82 + 7 + 21 + 0 + 8 + 544 = 666.

48272108544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 48272108544.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468661197 + ... + 468661299.

Almost surely, 248272108544 is an apocalyptic number.

48272108544 is a gapful number since it is divisible by the number (44) 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 48272108544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83383971840).

48272108544 is an abundant number, since it is smaller than the sum of its proper divisors (118495835136).

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

48272108544 is a wasteful number, since it uses less digits than its factorization.

48272108544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

It can be divided in two parts, 48272 and 108544, that added together give a square (156816 = 3962).

The spelling of 48272108544 in words is "forty-eight billion, two hundred seventy-two million, one hundred eight thousand, five hundred forty-four".