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5443514640 = 24325591271009
BaseRepresentation
bin1010001000111010…
…10111000100010000
3112001100221012021100
411010131113010100
542122014432030
62300053224400
7251616053034
oct50435270420
915040835240
105443514640
1123437a4133
12107b032100
136899c76a5
14398d521c4
1521cd63360
hex144757110

5443514640 has 240 divisors, whose sum is σ = 18755942400. Its totient is φ = 1414361088.

The previous prime is 5443514639. The next prime is 5443514641. The reversal of 5443514640 is 464153445.

5443514640 is a `hidden beast` number, since 5 + 4 + 4 + 3 + 5 + 1 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (5443514639) and next prime (5443514641).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5443514595 and 5443514604.

It is not an unprimeable number, because it can be changed into a prime (5443514641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5394456 + ... + 5395464.

It is an arithmetic number, because the mean of its divisors is an integer number (78149760).

Almost surely, 25443514640 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 5443514640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377971200).

5443514640 is an abundant number, since it is smaller than the sum of its proper divisors (13312427760).

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

5443514640 is a wasteful number, since it uses less digits than its factorization.

5443514640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5443514640 is about 73780.1778257548. The cubic root of 5443514640 is about 1759.1105440262.

The spelling of 5443514640 in words is "five billion, four hundred forty-three million, five hundred fourteen thousand, six hundred forty".