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5200060032 = 2735315393
BaseRepresentation
bin1001101011111001…
…01001111010000000
3111102101211102100000
410311330221322000
541122203410112
62215555200000
7242601531606
oct46574517200
914371742300
105200060032
112229331082
1210115a6000
1364b4372cb
1437489b876
152067c37dc
hex135f29e80

5200060032 has 192 divisors, whose sum is σ = 16021474560. Its totient is φ = 1677127680.

The previous prime is 5200059941. The next prime is 5200060037. The reversal of 5200060032 is 2300600025.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5200059987 and 5200060014.

It is not an unprimeable number, because it can be changed into a prime (5200060037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 961528 + ... + 966920.

It is an arithmetic number, because the mean of its divisors is an integer number (83445180).

Almost surely, 25200060032 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 5200060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010737280).

5200060032 is an abundant number, since it is smaller than the sum of its proper divisors (10821414528).

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

5200060032 is an equidigital number, since it uses as much as digits as its factorization.

5200060032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5200060032 is about 72111.4417551057. The cubic root of 5200060032 is about 1732.4848775877.

Adding to 5200060032 its reverse (2300600025), we get a palindrome (7500660057).

The spelling of 5200060032 in words is "five billion, two hundred million, sixty thousand, thirty-two".