Search a number
-
+
47210792832 = 2732724120399
BaseRepresentation
bin101011111101111110…
…111000011110000000
311111212012102202200200
4223331332320132000
51233141430332312
633404403045200
73260633055300
oct537576703600
9144765382620
1047210792832
1119027297465
129196970800
1345b4c51198
1423dc119600
151364a8d0dc
hexafdfb8780

47210792832 has 288 divisors, whose sum is σ = 161896644000. Its totient is φ = 13159157760.

The previous prime is 47210792821. The next prime is 47210792857. The reversal of 47210792832 is 23829701274.

47210792832 is a `hidden beast` number, since 472 + 10 + 7 + 92 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2304169 + ... + 2324567.

It is an arithmetic number, because the mean of its divisors is an integer number (562141125).

Almost surely, 247210792832 is an apocalyptic number.

47210792832 is a gapful number since it is divisible by the number (42) 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 47210792832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80948322000).

47210792832 is an abundant number, since it is smaller than the sum of its proper divisors (114685851168).

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

47210792832 is a wasteful number, since it uses less digits than its factorization.

47210792832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20474 (or 20452 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 47210792832 in words is "forty-seven billion, two hundred ten million, seven hundred ninety-two thousand, eight hundred thirty-two".