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5648569344 = 210341141151
BaseRepresentation
bin1010100001010111…
…00101010000000000
3112120122210001110000
411100223211100000
543032013204334
62332300240000
7256656022125
oct52053452000
915518701400
105648569344
112439519830
121117840000
136c0331632
143b828c74c
15230d6a299
hex150ae5400

5648569344 has 440 divisors, whose sum is σ = 18974805696. Its totient is φ = 1658880000.

The previous prime is 5648569343. The next prime is 5648569349. The reversal of 5648569344 is 4439658465.

5648569344 is a `hidden beast` number, since 5 + 6 + 48 + 569 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5648569343) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 37407669 + ... + 37407819.

Almost surely, 25648569344 is an apocalyptic number.

5648569344 is a gapful number since it is divisible by the number (54) 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 5648569344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9487402848).

5648569344 is an abundant number, since it is smaller than the sum of its proper divisors (13326236352).

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

5648569344 is a wasteful number, since it uses less digits than its factorization.

5648569344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 5648569344 is about 75156.9647072046. The cubic root of 5648569344 is about 1780.9271507063.

The spelling of 5648569344 in words is "five billion, six hundred forty-eight million, five hundred sixty-nine thousand, three hundred forty-four".