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5020123680 = 25325111324379
BaseRepresentation
bin1001010110011100…
…10000001000100000
3110221212020201001200
410223032100020200
540240122424210
62150050401200
7235255230045
oct45316201040
913855221050
105020123680
112146802250
12b81290200
136200863b0
14358a1d1cc
151e5ace0c0
hex12b390220

5020123680 has 288 divisors, whose sum is σ = 20126957760. Its totient is φ = 1123338240.

The previous prime is 5020123639. The next prime is 5020123687. The reversal of 5020123680 is 863210205.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5020123687) by changing a digit.

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, 193731 + ... + 218109.

It is an arithmetic number, because the mean of its divisors is an integer number (69885270).

Almost surely, 25020123680 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 5020123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063478880).

5020123680 is an abundant number, since it is smaller than the sum of its proper divisors (15106834080).

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

5020123680 is a wasteful number, since it uses less digits than its factorization.

5020123680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24424 (or 24413 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5020123680 is about 70852.8311360950. The cubic root of 5020123680 is about 1712.2669431187.

Adding to 5020123680 its reverse (863210205), we get a palindrome (5883333885).

The spelling of 5020123680 in words is "five billion, twenty million, one hundred twenty-three thousand, six hundred eighty".