Search a number
-
+
2568669696 = 29323891433
BaseRepresentation
bin1001100100011010…
…1100101000000000
320122000101221101200
42121012230220000
520230034412241
61102515301200
7120440221635
oct23106545000
96560357350
102568669696
1110a8a4661a
125b82aa800
1331c2235c8
141a520818c
151007924b6
hex991aca00

2568669696 has 120 divisors (see below), whose sum is σ = 7437598740. Its totient is φ = 853426176.

The previous prime is 2568669683. The next prime is 2568669731. The reversal of 2568669696 is 6969668652.

2568669696 is a `hidden beast` number, since 2 + 568 + 6 + 6 + 9 + 69 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2564409600 + 4260096 = 50640^2 + 2064^2 .

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 11 ways as a sum of consecutive naturals, for example, 1791796 + ... + 1793228.

Almost surely, 22568669696 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 2568669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718799370).

2568669696 is an abundant number, since it is smaller than the sum of its proper divisors (4868929044).

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

2568669696 is a wasteful number, since it uses less digits than its factorization.

2568669696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1827 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The square root of 2568669696 is about 50682.0451047509. The cubic root of 2568669696 is about 1369.5232852189.

The spelling of 2568669696 in words is "two billion, five hundred sixty-eight million, six hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 389 512 576 768 778 1152 1167 1433 1536 1556 2304 2334 2866 3112 3501 4299 4608 4668 5732 6224 7002 8598 9336 11464 12448 12897 14004 17196 18672 22928 24896 25794 28008 34392 37344 45856 49792 51588 56016 68784 74688 91712 99584 103176 112032 137568 149376 183424 199168 206352 224064 275136 298752 366848 412704 448128 550272 557437 597504 733696 825408 896256 1100544 1114874 1650816 1672311 1792512 2201088 2229748 3301632 3344622 4459496 5016933 6603264 6689244 8918992 10033866 13378488 17837984 20067732 26756976 35675968 40135464 53513952 71351936 80270928 107027904 142703872 160541856 214055808 285407744 321083712 428111616 642167424 856223232 1284334848 2568669696