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11216827264 = 27437327917
BaseRepresentation
bin10100111001001001…
…10011001110000000
31001221201102212022211
422130210303032000
5140433001433024
65053011311504
7544651313206
oct123444631600
931851385284
1011216827264
114836674385
1222105ab594
131099b23bc6
147859d3076
15459b1e594
hex29c933380

11216827264 has 64 divisors (see below), whose sum is σ = 23179757040. Its totient is φ = 5402750976.

The previous prime is 11216827249. The next prime is 11216827283. The reversal of 11216827264 is 46272861211.

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

It is a congruent number.

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, 387834 + ... + 415750.

Almost surely, 211216827264 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 11216827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11589878520).

11216827264 is an abundant number, since it is smaller than the sum of its proper divisors (11962929776).

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

11216827264 is an equidigital number, since it uses as much as digits as its factorization.

11216827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28047 (or 28035 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The spelling of 11216827264 in words is "eleven billion, two hundred sixteen million, eight hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 64 73 86 128 146 172 292 344 584 688 1168 1376 2336 2752 3139 4672 5504 6278 9344 12556 25112 27917 50224 55834 100448 111668 200896 223336 401792 446672 893344 1200431 1786688 2037941 2400862 3573376 4075882 4801724 8151764 9603448 16303528 19206896 32607056 38413792 65214112 76827584 87631463 130428224 153655168 175262926 260856448 350525852 701051704 1402103408 2804206816 5608413632 11216827264