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5667314688 = 21034743227
BaseRepresentation
bin1010100011100110…
…00101110000000000
3112121222001102020000
411101303011300000
543101313032223
62334210120000
7260304244230
oct52163056000
915558042200
105667314688
112449062452
121121b80000
136c4195959
143ba96bcc0
1523281e543
hex151cc5c00

5667314688 has 440 divisors, whose sum is σ = 19878367872. Its totient is φ = 1574608896.

The previous prime is 5667314683. The next prime is 5667314689. The reversal of 5667314688 is 8864137665.

5667314688 is a `hidden beast` number, since 566 + 7 + 3 + 14 + 68 + 8 = 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 (5667314683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24966031 + ... + 24966257.

Almost surely, 25667314688 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 5667314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939183936).

5667314688 is an abundant number, since it is smaller than the sum of its proper divisors (14211053184).

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

5667314688 is a wasteful number, since it uses less digits than its factorization.

5667314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 282 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 5667314688 is about 75281.5693779028. The cubic root of 5667314688 is about 1782.8950372334.

The spelling of 5667314688 in words is "five billion, six hundred sixty-seven million, three hundred fourteen thousand, six hundred eighty-eight".