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6068410000 = 2454192412
BaseRepresentation
bin1011010011011010…
…01001011010010000
3120122220210011112221
411221231021122100
544412003110000
62442055030424
7303244430302
oct55155113220
916586704487
106068410000
112634506284
12121436b414
137592cb963
14417d39972
15257b4c61a
hex169b49690

6068410000 has 225 divisors, whose sum is σ = 15893625693. Its totient is φ = 2243520000.

The previous prime is 6068409901. The next prime is 6068410009. The reversal of 6068410000 is 148606.

The square root of 6068410000 is 77900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 6044751504 + 23658496 = 77748^2 + 4864^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6068410009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 148009980 + ... + 148010020.

Almost surely, 26068410000 is an apocalyptic number.

6068410000 is the 77900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6068410000

6068410000 is an abundant number, since it is smaller than the sum of its proper divisors (9825215693).

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

6068410000 is an equidigital number, since it uses as much as digits as its factorization.

6068410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 6068410000 is about 1824.0005787035. Note that the first 3 decimals are identical.

Multiplying 6068410000 by its sum of digits (25), we get a square (151710250000 = 3895002).

6068410000 divided by its sum of digits (25) gives a square (242736400 = 155802).

Adding to 6068410000 its reverse (148606), we get a palindrome (6068558606).

The spelling of 6068410000 in words is "six billion, sixty-eight million, four hundred ten thousand".