Search a number
-
+
47324012736 = 2637111333147
BaseRepresentation
bin101100000100101110…
…110010000011000000
311112011002110221012110
4230010232302003000
51233404421401421
633423525455320
73263506320420
oct540456620300
9145132427173
1047324012736
1119085198230
129208871540
134602543000
14240d18c480
15136e9a4a76
hexb04bb20c0

47324012736 has 896 divisors, whose sum is σ = 178280202240. Its totient is φ = 10746777600.

The previous prime is 47324012717. The next prime is 47324012737. The reversal of 47324012736 is 63721042374.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 47324012694 and 47324012703.

It is not an unprimeable number, because it can be changed into a prime (47324012737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1006893865 + ... + 1006893911.

It is an arithmetic number, because the mean of its divisors is an integer number (198973440).

Almost surely, 247324012736 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 47324012736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89140101120).

47324012736 is an abundant number, since it is smaller than the sum of its proper divisors (130956189504).

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

47324012736 is a wasteful number, since it uses less digits than its factorization.

47324012736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 47324012736 in words is "forty-seven billion, three hundred twenty-four million, twelve thousand, seven hundred thirty-six".