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5284908288000 = 21133531127189
BaseRepresentation
bin100110011100111110100…
…0101001100100000000000
3200201020021100022202021000
41030321331011030200000
51143041443010204000
615123504153532000
71053551645152245
oct114717505144000
920636240282230
105284908288000
111758353a51200
12714301114000
132c4498375873
14143b1042d5cc
1592715002000
hex4ce7d14c800

5284908288000 has 2304 divisors, whose sum is σ = 22022425152000. Its totient is φ = 1248952320000.

The previous prime is 5284908287987. The next prime is 5284908288017. The reversal of 5284908288000 is 8828094825.

It is a happy number.

5284908288000 is a `hidden beast` number, since 52 + 8 + 490 + 8 + 28 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×52849082880002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 59380991956 + ... + 59380992044.

It is an arithmetic number, because the mean of its divisors is an integer number (9558344250).

Almost surely, 25284908288000 is an apocalyptic number.

5284908288000 is a gapful number since it is divisible by the number (50) 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 5284908288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11011212576000).

5284908288000 is an abundant number, since it is smaller than the sum of its proper divisors (16737516864000).

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

5284908288000 is a wasteful number, since it uses less digits than its factorization.

5284908288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 5284908288000 in words is "five trillion, two hundred eighty-four billion, nine hundred eight million, two hundred eighty-eight thousand".