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5005596288 = 2737113143127
BaseRepresentation
bin1001010100101101…
…10101011010000000
3110220211220122020010
410222112311122000
540222413040123
62144411144520
7235020603120
oct45226653200
913824818203
105005596288
11213958a640
12b78445140
1361a06abc4
14356b1ac80
151e46ae993
hex12a5b5680

5005596288 has 512 divisors, whose sum is σ = 17647534080. Its totient is φ = 1219276800.

The previous prime is 5005596247. The next prime is 5005596293. The reversal of 5005596288 is 8826955005.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39414081 + ... + 39414207.

It is an arithmetic number, because the mean of its divisors is an integer number (34467840).

Almost surely, 25005596288 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 5005596288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8823767040).

5005596288 is an abundant number, since it is smaller than the sum of its proper divisors (12641937792).

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

5005596288 is a wasteful number, since it uses less digits than its factorization.

5005596288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The square root of 5005596288 is about 70750.2387840493. The cubic root of 5005596288 is about 1710.6136766658.

The spelling of 5005596288 in words is "five billion, five million, five hundred ninety-six thousand, two hundred eighty-eight".