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4491744896 = 27177328277
BaseRepresentation
bin1000010111011101…
…01001011010000000
3102121001000021122002
410023232221122000
533144341314041
62021413403132
7216211126112
oct41356513200
912531007562
104491744896
1119a5522471
12a543394a8
13567776222
1430879b3b2
151b450c59b
hex10bba9680

4491744896 has 64 divisors (see below), whose sum is σ = 9604905480. Its totient is φ = 2084732928.

The previous prime is 4491744889. The next prime is 4491744919. The reversal of 4491744896 is 6984471944.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4162830400 + 328914496 = 64520^2 + 18136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144710 + ... + 172986.

Almost surely, 24491744896 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 4491744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802452740).

4491744896 is an abundant number, since it is smaller than the sum of its proper divisors (5113160584).

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

4491744896 is a wasteful number, since it uses less digits than its factorization.

4491744896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28381 (or 28369 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 56.

The square root of 4491744896 is about 67020.4811680728. The cubic root of 4491744896 is about 1649.9534600892.

The spelling of 4491744896 in words is "four billion, four hundred ninety-one million, seven hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 128 136 146 272 292 544 584 1088 1168 1241 2176 2336 2482 4672 4964 9344 9928 19856 28277 39712 56554 79424 113108 158848 226216 452432 480709 904864 961418 1809728 1922836 2064221 3619456 3845672 4128442 7691344 8256884 15382688 16513768 30765376 33027536 35091757 61530752 66055072 70183514 132110144 140367028 264220288 280734056 561468112 1122936224 2245872448 4491744896