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47220630912 = 27367136783
BaseRepresentation
bin101011111110100100…
…011010010110000000
311111212212221121000000
4223332210122112000
51233201440142122
633405354000000
73261112511610
oct537644322600
9144785847000
1047220630912
11190318a6a04
12919a116000
1345b6cb7130
1423dd55aa40
1513658830ac
hexafe91a580

47220630912 has 896 divisors, whose sum is σ = 178306248960. Its totient is φ = 12120109056.

The previous prime is 47220630871. The next prime is 47220630931. The reversal of 47220630912 is 21903602274.

47220630912 is a `hidden beast` number, since 4 + 7 + 2 + 2 + 0 + 630 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 568923223 + ... + 568923305.

It is an arithmetic number, because the mean of its divisors is an integer number (199002510).

Almost surely, 247220630912 is an apocalyptic number.

47220630912 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 47220630912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89153124480).

47220630912 is an abundant number, since it is smaller than the sum of its proper divisors (131085618048).

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

47220630912 is an equidigital number, since it uses as much as digits as its factorization.

47220630912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 47220630912 in words is "forty-seven billion, two hundred twenty million, six hundred thirty thousand, nine hundred twelve".