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47284019365440 = 263511136722323053
BaseRepresentation
bin10101100000001001010110…
…01011011000011001000000
320012102022022121102200000210
422300010223023120121000
522144200132424143230
6244321551214314120
712650105036063154
oct1260045313303100
9205368277380023
1047284019365440
1114080049270410
125377b624b8940
13204cb2cc890c0
14b967b72c3064
1556ee74b5beb0
hex2b012b2d8640

47284019365440 has 896 divisors, whose sum is σ = 179815640481792. Its totient is φ = 10375922810880.

The previous prime is 47284019365409. The next prime is 47284019365447. The reversal of 47284019365440 is 4456391048274.

It is not an unprimeable number, because it can be changed into a prime (47284019365447) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2051088954 + ... + 2051112006.

It is an arithmetic number, because the mean of its divisors is an integer number (200687098752).

It is a 1-persistent number, because it is pandigital, but 2⋅47284019365440 = 94568038730880 is not.

Almost surely, 247284019365440 is an apocalyptic number.

47284019365440 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 47284019365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89907820240896).

47284019365440 is an abundant number, since it is smaller than the sum of its proper divisors (132531621116352).

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

47284019365440 is a wasteful number, since it uses less digits than its factorization.

47284019365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23387 (or 23377 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 47284019365440 in words is "forty-seven trillion, two hundred eighty-four billion, nineteen million, three hundred sixty-five thousand, four hundred forty".