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5655441440 = 2551197157211
BaseRepresentation
bin1010100010001011…
…10011000000100000
3112121010201012012002
411101011303000200
543040243111230
62333103423132
7260101313315
oct52105630040
915533635162
105655441440
112442392950
121119bb4aa8
136c189956c
143b915ad0c
15231776545
hex151173020

5655441440 has 192 divisors, whose sum is σ = 14889909888. Its totient is φ = 2012774400.

The previous prime is 5655441433. The next prime is 5655441481. The reversal of 5655441440 is 441445565.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5655441394 and 5655441403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26802935 + ... + 26803145.

It is an arithmetic number, because the mean of its divisors is an integer number (77551614).

Almost surely, 25655441440 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 5655441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7444954944).

5655441440 is an abundant number, since it is smaller than the sum of its proper divisors (9234468448).

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

5655441440 is a wasteful number, since it uses less digits than its factorization.

5655441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The square root of 5655441440 is about 75202.6691015685. The cubic root of 5655441440 is about 1781.6490882284.

The spelling of 5655441440 in words is "five billion, six hundred fifty-five million, four hundred forty-one thousand, four hundred forty".