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47002008049920 = 2835573113331
BaseRepresentation
bin10101010111111100000011…
…11111100101100100000000
320011102100101202101111100000
422223332001333211210000
522130040103030044140
6243544231401200000
712620532401334000
oct1253760177454400
9204370352344300
1047002008049920
1113a81492228000
125331379490000
13202c368c284c1
14b86ca32a4000
1556796b86da30
hex2abf81fe5900

47002008049920 has 3456 divisors, whose sum is σ = 216976493260800. Its totient is φ = 9737144524800.

The previous prime is 47002008049817. The next prime is 47002008049921. The reversal of 47002008049920 is 2994080020074.

47002008049920 is a `hidden beast` number, since 47 + 0 + 0 + 20 + 0 + 80 + 499 + 20 = 666.

47002008049920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (47002008049921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 142000024155 + ... + 142000024485.

Almost surely, 247002008049920 is an apocalyptic number.

47002008049920 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 47002008049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108488246630400).

47002008049920 is an abundant number, since it is smaller than the sum of its proper divisors (169974485210880).

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

47002008049920 is an frugal number, since it uses more digits than its factorization.

47002008049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

Adding to 47002008049920 its reverse (2994080020074), we get a palindrome (49996088069994).

The spelling of 47002008049920 in words is "forty-seven trillion, two billion, eight million, forty-nine thousand, nine hundred twenty".