Search a number
-
+
47544348060 = 22345113772109
BaseRepresentation
bin101100010001110111…
…010010110110011100
311112201110002010110000
4230101313102312130
51234332323114220
633501440214300
73302123201436
oct542167226634
9145643063400
1047544348060
11191885aa440
12926a60a390
13463909a241
142430545656
151383ec9390
hexb11dd2d9c

47544348060 has 240 divisors, whose sum is σ = 167107137120. Its totient is φ = 11214236160.

The previous prime is 47544348053. The next prime is 47544348067. The reversal of 47544348060 is 6084344574.

47544348060 is a `hidden beast` number, since 4 + 7 + 544 + 3 + 48 + 0 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (47544348053) and next prime (47544348067).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 47544347997 and 47544348015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47544348067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 623286 + ... + 695394.

It is an arithmetic number, because the mean of its divisors is an integer number (696279738).

Almost surely, 247544348060 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 47544348060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83553568560).

47544348060 is an abundant number, since it is smaller than the sum of its proper divisors (119562789060).

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

47544348060 is a wasteful number, since it uses less digits than its factorization.

47544348060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72178 (or 72167 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 47544348060 in words is "forty-seven billion, five hundred forty-four million, three hundred forty-eight thousand, sixty".