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5386063200 = 253527523613
BaseRepresentation
bin1010000010000100…
…01100110101100000
3111220100211100201020
411001002030311200
542012313010300
62250242005440
7250320532110
oct50102146540
914810740636
105386063200
112314324001
121063946880
1367ab3075b
14391479040
15217cb58a0
hex14108cd60

5386063200 has 288 divisors, whose sum is σ = 20107213056. Its totient is φ = 1226741760.

The previous prime is 5386063187. The next prime is 5386063211. The reversal of 5386063200 is 23606835.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8786094 + ... + 8786706.

It is an arithmetic number, because the mean of its divisors is an integer number (69816712).

Almost surely, 25386063200 is an apocalyptic number.

5386063200 is a gapful number since it is divisible by the number (50) 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 5386063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10053606528).

5386063200 is an abundant number, since it is smaller than the sum of its proper divisors (14721149856).

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

5386063200 is a wasteful number, since it uses less digits than its factorization.

5386063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 5386063200 is about 73389.8031064262. The cubic root of 5386063200 is about 1752.9000296281.

The spelling of 5386063200 in words is "five billion, three hundred eighty-six million, sixty-three thousand, two hundred".