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5463235440 = 24325131015779
BaseRepresentation
bin1010001011010001…
…00101101101110000
3112002202001010010100
411011220211231300
542142042013230
62302040032400
7252245510055
oct50550455560
915082033110
105463235440
112353943713
121085762700
13690b109c0
1439b80702c
1521e95b660
hex145a25b70

5463235440 has 240 divisors, whose sum is σ = 19957785120. Its totient is φ = 1331251200.

The previous prime is 5463235403. The next prime is 5463235451. The reversal of 5463235440 is 445323645.

5463235440 is a `hidden beast` number, since 54 + 63 + 2 + 3 + 544 + 0 = 666.

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 = 5463235395 and 5463235404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942471 + ... + 948249.

It is an arithmetic number, because the mean of its divisors is an integer number (83157438).

Almost surely, 25463235440 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 5463235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978892560).

5463235440 is an abundant number, since it is smaller than the sum of its proper divisors (14494549680).

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

5463235440 is a wasteful number, since it uses less digits than its factorization.

5463235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 5463235440 is about 73913.7026538381. The cubic root of 5463235440 is about 1761.2322895414.

The spelling of 5463235440 in words is "five billion, four hundred sixty-three million, two hundred thirty-five thousand, four hundred forty".