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5653536336 = 24327191631811
BaseRepresentation
bin1010100001111101…
…00001111001010000
3112121000010101212200
411100332201321100
543034301130321
62332554523200
7260046160140
oct52076417120
915530111780
105653536336
112441301588
121119436500
136c1380396
143b8bc2920
152314ebd26
hex150fa1e50

5653536336 has 240 divisors, whose sum is σ = 19161392640. Its totient is φ = 1520052480.

The previous prime is 5653536331. The next prime is 5653536347. The reversal of 5653536336 is 6336353565.

It is a happy number.

5653536336 is a `hidden beast` number, since 5 + 6 + 5 + 3 + 5 + 3 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5653536291 and 5653536300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5653536331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3120871 + ... + 3122681.

It is an arithmetic number, because the mean of its divisors is an integer number (79839136).

Almost surely, 25653536336 is an apocalyptic number.

5653536336 is a gapful number since it is divisible by the number (56) 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 5653536336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580696320).

5653536336 is an abundant number, since it is smaller than the sum of its proper divisors (13507856304).

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

5653536336 is a wasteful number, since it uses less digits than its factorization.

5653536336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2005 counting only the distinct ones).

The product of its digits is 2187000, while the sum is 45.

The square root of 5653536336 is about 75190.0015693576. The cubic root of 5653536336 is about 1781.4490090633.

The spelling of 5653536336 in words is "five billion, six hundred fifty-three million, five hundred thirty-six thousand, three hundred thirty-six".