Search a number
-
+
47105502912 = 263313172331173
BaseRepresentation
bin101011110111101101…
…001110111011000000
311111120212022111002000
4223313231032323000
51232433002043122
633350122224000
73255214111506
oct536755167300
9144525274060
1047105502912
1118a829125a6
129167655000
1345991a7960
1423cc14c676
15135a6e10ac
hexaf7b4eec0

47105502912 has 896 divisors, whose sum is σ = 171070341120. Its totient is φ = 12554403840.

The previous prime is 47105502887. The next prime is 47105502947. The reversal of 47105502912 is 21920550174.

47105502912 is a `hidden beast` number, since 4 + 7 + 10 + 550 + 2 + 91 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 272286058 + ... + 272286230.

It is an arithmetic number, because the mean of its divisors is an integer number (190926720).

Almost surely, 247105502912 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 47105502912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85535170560).

47105502912 is an abundant number, since it is smaller than the sum of its proper divisors (123964838208).

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

47105502912 is a wasteful number, since it uses less digits than its factorization.

47105502912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 47105502912 in words is "forty-seven billion, one hundred five million, five hundred two thousand, nine hundred twelve".