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6006201120 = 2532537139811
BaseRepresentation
bin1011001011111111…
…10101101100100000
3120111120201122000100
411211333311230200
544300041413440
62431553422400
7301560603303
oct54577655440
916446648010
106006201120
112602386887
1211b756aa00
1374945a47a
1440d984b3a
15252460230
hex165ff5b20

6006201120 has 288 divisors, whose sum is σ = 21227693760. Its totient is φ = 1545246720.

The previous prime is 6006201119. The next prime is 6006201137. The reversal of 6006201120 is 211026006.

It is a happy number.

6006201120 is a `hidden beast` number, since 600 + 62 + 0 + 1 + 1 + 2 + 0 = 666.

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

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 = 6006201093 and 6006201102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7405515 + ... + 7406325.

It is an arithmetic number, because the mean of its divisors is an integer number (73707270).

Almost surely, 26006201120 is an apocalyptic number.

6006201120 is a gapful number since it is divisible by the number (60) 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 6006201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10613846880).

6006201120 is an abundant number, since it is smaller than the sum of its proper divisors (15221492640).

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

6006201120 is a wasteful number, since it uses less digits than its factorization.

6006201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6006201120 is about 77499.6846445197. The cubic root of 6006201120 is about 1817.7463874496.

Adding to 6006201120 its reverse (211026006), we get a palindrome (6217227126).

The spelling of 6006201120 in words is "six billion, six million, two hundred one thousand, one hundred twenty".