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6140606976 = 29337233189
BaseRepresentation
bin1011011100000001…
…00011101000000000
3120211221122011012000
411232000203220000
5100033443410401
62453154304000
7305112204150
oct55600435000
916757564160
106140606976
1126712379a9
121234588000
1376b25946a
14423770760
1525e15e186
hex16e023a00

6140606976 has 640 divisors, whose sum is σ = 22627123200. Its totient is φ = 1605795840.

The previous prime is 6140606971. The next prime is 6140607041. The reversal of 6140606976 is 6796060416.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6140606971) 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 63 ways as a sum of consecutive naturals, for example, 68995540 + ... + 68995628.

It is an arithmetic number, because the mean of its divisors is an integer number (35354880).

Almost surely, 26140606976 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 6140606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313561600).

6140606976 is an abundant number, since it is smaller than the sum of its proper divisors (16486516224).

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

6140606976 is a wasteful number, since it uses less digits than its factorization.

6140606976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6140606976 is about 78362.0250886869. The cubic root of 6140606976 is about 1831.2055694998.

The spelling of 6140606976 in words is "six billion, one hundred forty million, six hundred six thousand, nine hundred seventy-six".