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47488183680 = 273576075821
BaseRepresentation
bin101100001110100001…
…000010110110000000
311112120112101200101210
4230032201002312000
51234223433334210
633452112330120
73300541621050
oct541641026600
9145515350353
1047488183680
11191599292a3
129253843940
13462a564092
142426cc5560
15137e0d2e20
hexb0e842d80

47488183680 has 256 divisors, whose sum is σ = 173307432960. Its totient is φ = 10834698240.

The previous prime is 47488183679. The next prime is 47488183693. The reversal of 47488183680 is 8638188474.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 47488183680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8155170 + ... + 8160990.

It is an arithmetic number, because the mean of its divisors is an integer number (676982160).

Almost surely, 247488183680 is an apocalyptic number.

47488183680 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 47488183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86653716480).

47488183680 is an abundant number, since it is smaller than the sum of its proper divisors (125819249280).

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

47488183680 is a wasteful number, since it uses less digits than its factorization.

47488183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 47488183680 in words is "forty-seven billion, four hundred eighty-eight million, one hundred eighty-three thousand, six hundred eighty".