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47243427840 = 215325723199
BaseRepresentation
bin101011111111111011…
…011000000000000000
311111221110211210111200
4223333323120000000
51233223304142330
633411530341200
73261510340140
oct537773300000
9144843753450
1047243427840
1119043757644
1291a588a800
1345bb93963b
1424025b2920
151367887a60
hexaffed8000

47243427840 has 768 divisors, whose sum is σ = 196290432000. Its totient is φ = 10277093376.

The previous prime is 47243427799. The next prime is 47243427887. The reversal of 47243427840 is 4872434274.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×472434278403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 237404061 + ... + 237404259.

It is an arithmetic number, because the mean of its divisors is an integer number (255586500).

Almost surely, 247243427840 is an apocalyptic number.

47243427840 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 47243427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98145216000).

47243427840 is an abundant number, since it is smaller than the sum of its proper divisors (149047004160).

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

47243427840 is a wasteful number, since it uses less digits than its factorization.

47243427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 47243427840 in words is "forty-seven billion, two hundred forty-three million, four hundred twenty-seven thousand, eight hundred forty".