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2688886784 = 2112934481
BaseRepresentation
bin1010000001000101…
…0010100000000000
320221101121121020102
42200101102200000
521001323334114
61122452101532
7123430106033
oct24021224000
96841547212
102688886784
11115a896491
126306048a8
1333b0c528c
141b717d01a
1510b0dc2de
hexa0452800

2688886784 has 48 divisors (see below), whose sum is σ = 5396014260. Its totient is φ = 1339555840.

The previous prime is 2688886777. The next prime is 2688886817. The reversal of 2688886784 is 4876888862.

It can be written as a sum of positive squares in 2 ways, for example, as 2227840000 + 461046784 = 47200^2 + 21472^2 .

It is a super-2 number, since 2×26888867842 = 14460224274339725312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2688886784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 597824 + ... + 602304.

Almost surely, 22688886784 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 2688886784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698007130).

2688886784 is an abundant number, since it is smaller than the sum of its proper divisors (2707127476).

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

2688886784 is an equidigital number, since it uses as much as digits as its factorization.

2688886784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4776 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 65.

The square root of 2688886784 is about 51854.4769909021. The cubic root of 2688886784 is about 1390.5635421758.

The spelling of 2688886784 in words is "two billion, six hundred eighty-eight million, eight hundred eighty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 293 512 586 1024 1172 2048 2344 4481 4688 8962 9376 17924 18752 35848 37504 71696 75008 143392 150016 286784 300032 573568 600064 1147136 1312933 2294272 2625866 4588544 5251732 9177088 10503464 21006928 42013856 84027712 168055424 336110848 672221696 1344443392 2688886784