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5541323840 = 265134153613
BaseRepresentation
bin1010010100100100…
…11110010001000000
3112022011222102021022
411022102132101000
542322034330330
62313505445012
7254214322043
oct51222362100
915264872238
105541323840
112393a29688
1210a7940768
136a4051c60
143a7d32c5a
15226733ae5
hex14a49e440

5541323840 has 224 divisors, whose sum is σ = 14855744736. Its totient is φ = 1955266560.

The previous prime is 5541323819. The next prime is 5541323849. The reversal of 5541323840 is 483231455.

It can be written as a sum of positive squares in 16 ways, for example, as 4778680384 + 762643456 = 69128^2 + 27616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5541323840.

It is not an unprimeable number, because it can be changed into a prime (5541323849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9039374 + ... + 9039986.

It is an arithmetic number, because the mean of its divisors is an integer number (66320289).

Almost surely, 25541323840 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 5541323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7427872368).

5541323840 is an abundant number, since it is smaller than the sum of its proper divisors (9314420896).

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

5541323840 is a wasteful number, since it uses less digits than its factorization.

5541323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 5541323840 is about 74440.0687801939. The cubic root of 5541323840 is about 1769.5839766182.

The spelling of 5541323840 in words is "five billion, five hundred forty-one million, three hundred twenty-three thousand, eight hundred forty".