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2000816704 = 26732411777
BaseRepresentation
bin111011101000010…
…0000101001000000
312011102220000112101
41313100200221000
513044202113304
6530312240144
7100403442565
oct16720405100
95142800471
102000816704
11937455227
1247a0a0054
1325b6a2013
1414da2c86c
15ba9c48a4
hex77420a40

2000816704 has 56 divisors (see below), whose sum is σ = 4043733848. Its totient is φ = 982056960.

The previous prime is 2000816681. The next prime is 2000816711. The reversal of 2000816704 is 4076180002.

It can be written as a sum of positive squares in 4 ways, for example, as 568345600 + 1432471104 = 23840^2 + 37848^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1125064 + ... + 1126840.

It is an arithmetic number, because the mean of its divisors is an integer number (72209533).

Almost surely, 22000816704 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 2000816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021866924).

2000816704 is an abundant number, since it is smaller than the sum of its proper divisors (2042917144).

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

2000816704 is a wasteful number, since it uses less digits than its factorization.

2000816704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2000816704 is about 44730.4896463251. The cubic root of 2000816704 is about 1260.0925236500.

Adding to 2000816704 its reverse (4076180002), we get a palindrome (6076996706).

The spelling of 2000816704 in words is "two billion, eight hundred sixteen thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 73 146 241 292 482 584 964 1168 1777 1928 2336 3554 3856 4672 7108 7712 14216 15424 17593 28432 35186 56864 70372 113728 129721 140744 259442 281488 428257 518884 562976 856514 1037768 1125952 1713028 2075536 3426056 4151072 6852112 8302144 13704224 27408448 31262761 62525522 125051044 250102088 500204176 1000408352 2000816704