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5171088384 = 210337211347
BaseRepresentation
bin1001101000011100…
…01000110000000000
3111100101022111201000
410310032020300000
541042244312014
62213042212000
7242100345300
oct46416106000
914311274630
105171088384
112213a43270
121003954000
13645432417
14370ab9600
15203e9e509
hex134388c00

5171088384 has 528 divisors, whose sum is σ = 19490060160. Its totient is φ = 1339269120.

The previous prime is 5171088361. The next prime is 5171088437. The reversal of 5171088384 is 4838801715.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

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, 14902099 + ... + 14902445.

Almost surely, 25171088384 is an apocalyptic number.

5171088384 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 5171088384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9745030080).

5171088384 is an abundant number, since it is smaller than the sum of its proper divisors (14318971776).

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

5171088384 is a wasteful number, since it uses less digits than its factorization.

5171088384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5171088384 is about 71910.2800995796. The cubic root of 5171088384 is about 1729.2614246262.

The spelling of 5171088384 in words is "five billion, one hundred seventy-one million, eighty-eight thousand, three hundred eighty-four".