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5378439149568 = 211341723101821
BaseRepresentation
bin100111001000100001111…
…1101000111100000000000
3201001011200200010210220000
41032101003331013200000
51201110020410241233
615234453144520000
71063402510312662
oct116210375074000
921034620123800
105378439149568
111793a8a758901
1272a464480000
1330025284b634
14148464240532
1594d8b334d13
hex4e443f47800

5378439149568 has 960 divisors, whose sum is σ = 17947130160960. Its totient is φ = 1596063744000.

The previous prime is 5378439149561. The next prime is 5378439149599. The reversal of 5378439149568 is 8659419348735.

5378439149568 is a `hidden beast` number, since 5 + 3 + 7 + 8 + 43 + 9 + 14 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5378439149496 and 5378439149505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5378439149561) 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 79 ways as a sum of consecutive naturals, for example, 6551082598 + ... + 6551083418.

It is an arithmetic number, because the mean of its divisors is an integer number (18694927251).

Almost surely, 25378439149568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5378439149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8973565080480).

5378439149568 is an abundant number, since it is smaller than the sum of its proper divisors (12568691011392).

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

5378439149568 is a wasteful number, since it uses less digits than its factorization.

5378439149568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 967 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 5378439149568 in words is "five trillion, three hundred seventy-eight billion, four hundred thirty-nine million, one hundred forty-nine thousand, five hundred sixty-eight".