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5644013760 = 2632571131821
BaseRepresentation
bin1010100000110100…
…01101000011000000
3112120100012121100200
411100122031003000
543024331420020
62332014445200
7256602216420
oct52032150300
915510177320
105644013760
112436998090
121116203800
136bc3c7c18
143b7824480
1523076a590
hex15068d0c0

5644013760 has 672 divisors, whose sum is σ = 25014472704. Its totient is φ = 1133568000.

The previous prime is 5644013759. The next prime is 5644013789. The reversal of 5644013760 is 673104465.

It is a happy number.

5644013760 is a `hidden beast` number, since 5 + 644 + 0 + 1 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 6874150 + ... + 6874970.

Almost surely, 25644013760 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 5644013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507236352).

5644013760 is an abundant number, since it is smaller than the sum of its proper divisors (19370458944).

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

5644013760 is a wasteful number, since it uses less digits than its factorization.

5644013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5644013760 is about 75126.6514627133. The cubic root of 5644013760 is about 1780.4482480078.

The spelling of 5644013760 in words is "five billion, six hundred forty-four million, thirteen thousand, seven hundred sixty".