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6075095040 = 21133574373
BaseRepresentation
bin1011010100001101…
…01001100000000000
3120200101100210201000
411222012221200000
544420211020130
62442454212000
7303355312230
oct55206514000
916611323630
106075095040
112638261903
121216654000
1375a7cc6c1
14418b99cc0
1525851d260
hex16a1a9800

6075095040 has 768 divisors, whose sum is σ = 25599974400. Its totient is φ = 1337720832.

The previous prime is 6075095011. The next prime is 6075095051. The reversal of 6075095040 is 405905706.

6075095040 is a `hidden beast` number, since 60 + 7 + 509 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 6075094986 and 6075095004.

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 63 ways as a sum of consecutive naturals, for example, 83220444 + ... + 83220516.

It is an arithmetic number, because the mean of its divisors is an integer number (33333300).

Almost surely, 26075095040 is an apocalyptic number.

6075095040 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 6075095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799987200).

6075095040 is an abundant number, since it is smaller than the sum of its proper divisors (19524879360).

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

6075095040 is a wasteful number, since it uses less digits than its factorization.

6075095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 6075095040 is about 77942.8960200992. The cubic root of 6075095040 is about 1824.6701138895.

The spelling of 6075095040 in words is "six billion, seventy-five million, ninety-five thousand, forty".