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2783821216 = 251133123893
BaseRepresentation
bin1010010111101101…
…1011110110100000
321012000020202210111
42211323123312200
521200124234331
61140122541104
7125662042561
oct24573336640
97160222714
102783821216
1111a94380a0
12658367794
133549841b7
141c5a12168
151145e0db1
hexa5edbda0

2783821216 has 48 divisors (see below), whose sum is σ = 5997202848. Its totient is φ = 1261497600.

The previous prime is 2783821211. The next prime is 2783821223. The reversal of 2783821216 is 6121283872.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2783821211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104566 + ... + 128458.

It is an arithmetic number, because the mean of its divisors is an integer number (124941726).

Almost surely, 22783821216 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 2783821216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998601424).

2783821216 is an abundant number, since it is smaller than the sum of its proper divisors (3213381632).

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

2783821216 is a wasteful number, since it uses less digits than its factorization.

2783821216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24245 (or 24237 counting only the distinct ones).

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

The square root of 2783821216 is about 52761.9296083834. The cubic root of 2783821216 is about 1406.7398170545.

The spelling of 2783821216 in words is "two billion, seven hundred eighty-three million, eight hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 331 352 662 1324 2648 3641 5296 7282 10592 14564 23893 29128 47786 58256 95572 116512 191144 262823 382288 525646 764576 1051292 2102584 4205168 7908583 8410336 15817166 31634332 63268664 86994413 126537328 173988826 253074656 347977652 695955304 1391910608 2783821216