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47109932160 = 2735172362753
BaseRepresentation
bin101011110111111110…
…001000010010000000
311111121011122111212020
4223313332020102000
51232440120312120
633350401201440
73255266546664
oct536776102200
9144534574766
1047109932160
1118a85368335
129169030280
13459a098a05
1423cc9828a4
15135acb8640
hexaf7f88480

47109932160 has 256 divisors, whose sum is σ = 165911535360. Its totient is φ = 11309416448.

The previous prime is 47109932159. The next prime is 47109932179. The reversal of 47109932160 is 6123990174.

It is a super-3 number, since 3×471099321603 (a number of 33 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 719344 + ... + 782096.

It is an arithmetic number, because the mean of its divisors is an integer number (648091935).

Almost surely, 247109932160 is an apocalyptic number.

47109932160 is a gapful number since it is divisible by the number (40) 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 47109932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82955767680).

47109932160 is an abundant number, since it is smaller than the sum of its proper divisors (118801603200).

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

47109932160 is a wasteful number, since it uses less digits than its factorization.

47109932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62815 (or 62803 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 47109932160 in words is "forty-seven billion, one hundred nine million, nine hundred thirty-two thousand, one hundred sixty".