Search a number
-
+
47869138944 = 211341137709
BaseRepresentation
bin101100100101001110…
…010001100000000000
311120120002020012210000
4230211032101200000
51241013444421234
633554001440000
73313145652564
oct544516214000
9146502205700
1047869138944
1119334976660
12933b340000
13468b467cb3
14246172d6a4
1513a2783899
hexb25391800

47869138944 has 480 divisors, whose sum is σ = 160421461200. Its totient is φ = 14093844480.

The previous prime is 47869138931. The next prime is 47869138949. The reversal of 47869138944 is 44983196874.

47869138944 is a `hidden beast` number, since 478 + 6 + 91 + 38 + 9 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47869138949) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67516062 + ... + 67516770.

Almost surely, 247869138944 is an apocalyptic number.

47869138944 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 47869138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80210730600).

47869138944 is an abundant number, since it is smaller than the sum of its proper divisors (112552322256).

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

47869138944 is a wasteful number, since it uses less digits than its factorization.

47869138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 762 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 47869138944 in words is "forty-seven billion, eight hundred sixty-nine million, one hundred thirty-eight thousand, nine hundred forty-four".