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648487045440 = 263351343134269
BaseRepresentation
bin10010110111111001101…
…01110000100101000000
32021222212011210011122000
421123330311300211000
541111100140423230
61213524423544000
764565053636353
oct11337465604500
92258764704560
10648487045440
11230027038483
12a5820bbb000
13491c9120640
142355ba9c29a
1511d069a9b60
hex96fcd70940

648487045440 has 448 divisors, whose sum is σ = 2521010553600. Its totient is φ = 155914149888.

The previous prime is 648487045391. The next prime is 648487045463. The reversal of 648487045440 is 44540784846.

648487045440 is a `hidden beast` number, since 6 + 4 + 84 + 8 + 70 + 454 + 40 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4762626 + ... + 4896894.

It is an arithmetic number, because the mean of its divisors is an integer number (5627255700).

Almost surely, 2648487045440 is an apocalyptic number.

648487045440 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 648487045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260505276800).

648487045440 is an abundant number, since it is smaller than the sum of its proper divisors (1872523508160).

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

648487045440 is a wasteful number, since it uses less digits than its factorization.

648487045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134351 (or 134335 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 648487045440 in words is "six hundred forty-eight billion, four hundred eighty-seven million, forty-five thousand, four hundred forty".