Search a number
-
+
804368863408 = 241167208132779
BaseRepresentation
bin10111011010010000001…
…11101101000010110000
32211220012211220222220111
423231020013231002300
5101134321412112113
61413304424151104
7112054003346065
oct13551007550260
92756184828814
10804368863408
11290149287510
1210ba85608494
135ab0c12a256
142ad08696c6c
1515dcbb2a13d
hexbb481ed0b0

804368863408 has 80 divisors (see below), whose sum is σ = 1726400396160. Its totient is φ = 359981107200.

The previous prime is 804368863393. The next prime is 804368863429.

804368863408 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8043688634082 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24522763 + ... + 24555541.

It is an arithmetic number, because the mean of its divisors is an integer number (21580004952).

Almost surely, 2804368863408 is an apocalyptic number.

804368863408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804368863408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863200198080).

804368863408 is an abundant number, since it is smaller than the sum of its proper divisors (922031532752).

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

804368863408 is a wasteful number, since it uses less digits than its factorization.

804368863408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34946 (or 34940 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 58.

The spelling of 804368863408 in words is "eight hundred four billion, three hundred sixty-eight million, eight hundred sixty-three thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1072 1474 2081 2948 4162 5896 8324 11792 16648 22891 32779 33296 45782 65558 91564 131116 139427 183128 262232 278854 360569 366256 524464 557708 721138 1115416 1442276 1533697 2196193 2230832 2884552 3067394 4392386 5769104 6134788 8784772 12269576 17569544 24158123 24539152 35139088 48316246 68213099 96632492 136426198 193264984 272852396 386529968 545704792 750344089 1091409584 1500688178 3001376356 4570277633 6002752712 9140555266 12005505424 18281110532 36562221064 50273053963 73124442128 100546107926 201092215852 402184431704 804368863408