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6052642128 = 24321319379449
BaseRepresentation
bin1011010001100001…
…11111110101010000
3120121211010002002200
411220300333311100
544343434022003
62440333043200
7302663415651
oct55060776520
916554102080
106052642128
112626616685
12120b026500
13755c6a960
14415bd3528
152565856a3
hex168c3fd50

6052642128 has 240 divisors, whose sum is σ = 19295640000. Its totient is φ = 1755758592.

The previous prime is 6052642121. The next prime is 6052642153. The reversal of 6052642128 is 8212462506.

It is a happy number.

6052642128 is a `hidden beast` number, since 6 + 0 + 5 + 2 + 642 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6052642092 and 6052642101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6052642121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13480048 + ... + 13480496.

It is an arithmetic number, because the mean of its divisors is an integer number (80398500).

Almost surely, 26052642128 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 6052642128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647820000).

6052642128 is an abundant number, since it is smaller than the sum of its proper divisors (13242997872).

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

6052642128 is a wasteful number, since it uses less digits than its factorization.

6052642128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6052642128 is about 77798.7283186557. The cubic root of 6052642128 is about 1822.4194092404.

The spelling of 6052642128 in words is "six billion, fifty-two million, six hundred forty-two thousand, one hundred twenty-eight".