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4639834368 = 283213971597
BaseRepresentation
bin1000101001000111…
…00100000100000000
3102222100200000012100
410110203210010000
534000244144433
62044223430400
7222656640621
oct42443440400
912870600170
104639834368
111a7107a264
12a95a55400
1358c356630
14320309a48
151c2510b13
hex1148e4100

4639834368 has 216 divisors, whose sum is σ = 14564485208. Its totient is φ = 1412038656.

The previous prime is 4639834363. The next prime is 4639834379. The reversal of 4639834368 is 8634389364.

4639834368 is a `hidden beast` number, since 463 + 9 + 83 + 43 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 4639244544 = 768^2 + 68112^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4639834363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2904546 + ... + 2906142.

Almost surely, 24639834368 is an apocalyptic number.

4639834368 is a gapful number since it is divisible by the number (48) 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 4639834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282242604).

4639834368 is an abundant number, since it is smaller than the sum of its proper divisors (9924650840).

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

4639834368 is a wasteful number, since it uses less digits than its factorization.

4639834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1712 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 4639834368 is about 68116.3296721131. The cubic root of 4639834368 is about 1667.8903366303.

The spelling of 4639834368 in words is "four billion, six hundred thirty-nine million, eight hundred thirty-four thousand, three hundred sixty-eight".