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5683466880 = 2732572131549
BaseRepresentation
bin1010100101100001…
…01101001010000000
3112200002110000212100
411102300231022000
543114431420010
62335544230400
7260561446200
oct52260551200
915602400770
105683466880
112457194873
12112746b400
136c762c870
143bcb74400
15233e602c0
hex152c2d280

5683466880 has 576 divisors, whose sum is σ = 24601941000. Its totient is φ = 1198374912.

The previous prime is 5683466813. The next prime is 5683466897. The reversal of 5683466880 is 886643865.

It can be written as a sum of positive squares in 4 ways, for example, as 3092249664 + 2591217216 = 55608^2 + 50904^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3668346 + ... + 3669894.

Almost surely, 25683466880 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 5683466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300970500).

5683466880 is an abundant number, since it is smaller than the sum of its proper divisors (18918474120).

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

5683466880 is a wasteful number, since it uses less digits than its factorization.

5683466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 5683466880 is about 75388.7715777356. The cubic root of 5683466880 is about 1784.5872171230.

The spelling of 5683466880 in words is "five billion, six hundred eighty-three million, four hundred sixty-six thousand, eight hundred eighty".