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5171288064 = 211319311429
BaseRepresentation
bin1001101000011101…
…11001100000000000
3111100101200122121120
410310032321200000
541042322204224
62213050352240
7242102136405
oct46416714000
914311618546
105171288064
11221406a298
121003a2b680
136454a2287
14370b2c2ac
15203edd779
hex1343b9800

5171288064 has 192 divisors, whose sum is σ = 14990976000. Its totient is φ = 1579253760.

The previous prime is 5171288051. The next prime is 5171288077. The reversal of 5171288064 is 4608821715.

It is an interprime number because it is at equal distance from previous prime (5171288051) and next prime (5171288077).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3618102 + ... + 3619530.

It is an arithmetic number, because the mean of its divisors is an integer number (78078000).

Almost surely, 25171288064 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 5171288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495488000).

5171288064 is an abundant number, since it is smaller than the sum of its proper divisors (9819687936).

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

5171288064 is a wasteful number, since it uses less digits than its factorization.

5171288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 5171288064 is about 71911.6684829381. The cubic root of 5171288064 is about 1729.2836826404.

The spelling of 5171288064 in words is "five billion, one hundred seventy-one million, two hundred eighty-eight thousand, sixty-four".