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47343660000 = 2535471322329
BaseRepresentation
bin101100000101111001…
…101110101111100000
311112012110110010011220
4230011321232233200
51233424434110000
633425510535040
73264135320160
oct540571565740
9145173403156
1047343660000
111909529753a
129213367480
134606631a00
142411a245a0
1513715861a0
hexb05e6ebe0

47343660000 has 1440 divisors, whose sum is σ = 207455592960. Its totient is φ = 9225216000.

The previous prime is 47343659989. The next prime is 47343660017. The reversal of 47343660000 is 6634374.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1632539986 + ... + 1632540014.

It is an arithmetic number, because the mean of its divisors is an integer number (144066384).

Almost surely, 247343660000 is an apocalyptic number.

47343660000 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 47343660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103727796480).

47343660000 is an abundant number, since it is smaller than the sum of its proper divisors (160111932960).

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

47343660000 is a wasteful number, since it uses less digits than its factorization.

47343660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The spelling of 47343660000 in words is "forty-seven billion, three hundred forty-three million, six hundred sixty thousand".