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47171226816 = 26327171394951
BaseRepresentation
bin101011111011100111…
…111100110011000000
311111202102222121022200
4223323213330303000
51233101313224231
633400431033200
73256642545420
oct537347746300
9144672877280
1047171226816
1119006a2297a
12918566b800
1345a99aa03c
1423d6b7a480
151361374be6
hexafb9fccc0

47171226816 has 336 divisors, whose sum is σ = 164823160320. Its totient is φ = 12590899200.

The previous prime is 47171226743. The next prime is 47171226847. The reversal of 47171226816 is 61862217174.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9525141 + ... + 9530091.

It is an arithmetic number, because the mean of its divisors is an integer number (490545120).

Almost surely, 247171226816 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 47171226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82411580160).

47171226816 is an abundant number, since it is smaller than the sum of its proper divisors (117651933504).

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

47171226816 is a wasteful number, since it uses less digits than its factorization.

47171226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5119 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 47171226816 in words is "forty-seven billion, one hundred seventy-one million, two hundred twenty-six thousand, eight hundred sixteen".