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6490428484800 = 263521319311371289
BaseRepresentation
bin101111001110010101110…
…1011110010110011000000
3211222110221010020220122210
41132130223223302303000
51322314344143003200
621445354531302120
71236626603565441
oct136345353626300
924873833226583
106490428484800
112082636746907
12889a7b44a940
133810774c60c0
141861d1b4b2c8
15b3c6e64b650
hex5e72baf2cc0

6490428484800 has 1344 divisors, whose sum is σ = 25118992281600. Its totient is φ = 1452913459200.

The previous prime is 6490428484759. The next prime is 6490428484801. The reversal of 6490428484800 is 84848240946.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (6490428484801) 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 191 ways as a sum of consecutive naturals, for example, 5035242556 + ... + 5035243844.

It is an arithmetic number, because the mean of its divisors is an integer number (18689726400).

Almost surely, 26490428484800 is an apocalyptic number.

6490428484800 is a gapful number since it is divisible by the number (60) 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 6490428484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12559496140800).

6490428484800 is an abundant number, since it is smaller than the sum of its proper divisors (18628563796800).

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

6490428484800 is a wasteful number, since it uses less digits than its factorization.

6490428484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 57.

The spelling of 6490428484800 in words is "six trillion, four hundred ninety billion, four hundred twenty-eight million, four hundred eighty-four thousand, eight hundred".