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6142873509 = 322692537329
BaseRepresentation
bin1011011100010010…
…01100111110100101
3120212002220022021200
411232021030332211
5100040033423014
62453315033113
7305140364133
oct55611147645
916762808250
106142873509
112672545873
12123529b799
1376b870cc6
14423ba0753
1525e45aa09
hex16e24cfa5

6142873509 has 12 divisors (see below), whose sum is σ = 8906028300. Its totient is φ = 4080023424.

The previous prime is 6142873463. The next prime is 6142873523. The reversal of 6142873509 is 9053782416.

6142873509 is a `hidden beast` number, since 6 + 14 + 287 + 350 + 9 = 666.

6142873509 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1367372484 + 4775501025 = 36978^2 + 69105^2 .

It is not a de Polignac number, because 6142873509 - 216 = 6142807973 is a prime.

6142873509 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142873549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1266244 + ... + 1271085.

It is an arithmetic number, because the mean of its divisors is an integer number (742169025).

It is a 1-persistent number, because it is pandigital, but 2⋅6142873509 = 12285747018 is not.

Almost surely, 26142873509 is an apocalyptic number.

It is an amenable number.

6142873509 is a deficient number, since it is larger than the sum of its proper divisors (2763154791).

6142873509 is a wasteful number, since it uses less digits than its factorization.

6142873509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537604 (or 2537601 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6142873509 is about 78376.4856892678. The cubic root of 6142873509 is about 1831.4308445862.

It can be divided in two parts, 614287 and 3509, that added together give a square (617796 = 7862).

The spelling of 6142873509 in words is "six billion, one hundred forty-two million, eight hundred seventy-three thousand, five hundred nine".

Divisors: 1 3 9 269 807 2421 2537329 7611987 22835961 682541501 2047624503 6142873509