Search a number
-
+
104241053696 = 214131728789
BaseRepresentation
bin110000100010101000…
…0000100000000000000
3100222001201221012012112
41201011100010000000
53201441202204241
6115515423314452
710350122223353
oct1410520040000
9328051835175
10104241053696
11402323a255a
121825214ba28
139aa3360780
14508c40229a
152aa17281eb
hex1845404000

104241053696 has 120 divisors (see below), whose sum is σ = 237727206360. Its totient is φ = 45279608832.

The previous prime is 104241053681. The next prime is 104241053701. The reversal of 104241053696 is 696350142401.

It can be written as a sum of positive squares in 4 ways, for example, as 29419110400 + 74821943296 = 171520^2 + 273536^2 .

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 7 ways as a sum of consecutive naturals, for example, 3606470 + ... + 3635258.

It is an arithmetic number, because the mean of its divisors is an integer number (1981060053).

Almost surely, 2104241053696 is an apocalyptic number.

104241053696 is a gapful number since it is divisible by the number (16) 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 104241053696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118863603180).

104241053696 is an abundant number, since it is smaller than the sum of its proper divisors (133486152664).

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

104241053696 is an equidigital number, since it uses as much as digits as its factorization.

104241053696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28847 (or 28821 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 104241053696 in words is "one hundred four billion, two hundred forty-one million, fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 832 884 1024 1088 1664 1768 2048 2176 3328 3536 4096 4352 6656 7072 8192 8704 13312 14144 16384 17408 26624 28288 28789 34816 53248 56576 57578 69632 106496 113152 115156 139264 212992 226304 230312 278528 374257 452608 460624 489413 748514 905216 921248 978826 1497028 1810432 1842496 1957652 2994056 3620864 3684992 3915304 5988112 6362369 7369984 7830608 11976224 12724738 14739968 15661216 23952448 25449476 29479936 31322432 47904896 50898952 58959872 62644864 95809792 101797904 117919744 125289728 191619584 203595808 235839488 250579456 383239168 407191616 471678976 501158912 766478336 814383232 1002317824 1532956672 1628766464 2004635648 3065913344 3257532928 4009271296 6131826688 6515065856 8018542592 13030131712 26060263424 52120526848 104241053696