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6074734848 = 283713175113
BaseRepresentation
bin1011010100001010…
…10001100100000000
3120200100200111121120
411222011101210000
544420113003343
62442442352240
7303352252140
oct55205214400
916610614546
106074734848
112638036226
1212164bb680
1375a704780
14418b04920
1525849b683
hex16a151900

6074734848 has 288 divisors, whose sum is σ = 21073280256. Its totient is φ = 1507590144.

The previous prime is 6074734817. The next prime is 6074734849. The reversal of 6074734848 is 8484374706.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 6074734848.

It is not an unprimeable number, because it can be changed into a prime (6074734849) 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 31 ways as a sum of consecutive naturals, for example, 1185540 + ... + 1190652.

It is an arithmetic number, because the mean of its divisors is an integer number (73171112).

Almost surely, 26074734848 is an apocalyptic number.

6074734848 is a gapful number since it is divisible by the number (68) 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 6074734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10536640128).

6074734848 is an abundant number, since it is smaller than the sum of its proper divisors (14998545408).

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

6074734848 is a wasteful number, since it uses less digits than its factorization.

6074734848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The square root of 6074734848 is about 77940.5853711659. The cubic root of 6074734848 is about 1824.6340516517.

The spelling of 6074734848 in words is "six billion, seventy-four million, seven hundred thirty-four thousand, eight hundred forty-eight".