Search a number
-
+
104418652005 = 32519344926777
BaseRepresentation
bin110000100111111010…
…1100010111101100101
3100222112010010010021200
41201033311202331211
53202322133331010
6115545210033113
710354406616603
oct1411765427545
9328463103250
10104418652005
1140313674818
12182a1718799
139b010a3425
1450a7c32873
152ab2109cc0
hex184fd62f65

104418652005 has 48 divisors (see below), whose sum is σ = 182342113200. Its totient is φ = 55275945984.

The previous prime is 104418651929. The next prime is 104418652007. The reversal of 104418652005 is 500256814401.

It is a happy number.

104418652005 is a `hidden beast` number, since 1 + 0 + 441 + 8 + 6 + 5 + 200 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12096260289 + 92322391716 = 109983^2 + 303846^2 .

It is not a de Polignac number, because 104418652005 - 27 = 104418651877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104418652007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3886177 + ... + 3912953.

It is an arithmetic number, because the mean of its divisors is an integer number (3798794025).

Almost surely, 2104418652005 is an apocalyptic number.

104418652005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104418652005 is a deficient number, since it is larger than the sum of its proper divisors (77923461195).

104418652005 is a wasteful number, since it uses less digits than its factorization.

104418652005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27430 (or 27427 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 104418652005 in words is "one hundred four billion, four hundred eighteen million, six hundred fifty-two thousand, five".

Divisors: 1 3 5 9 15 45 193 449 579 965 1347 1737 2245 2895 4041 6735 8685 20205 26777 80331 86657 133885 240993 259971 401655 433285 779913 1204965 1299855 3899565 5167961 12022873 15503883 25839805 36068619 46511649 60114365 77519415 108205857 180343095 232558245 541029285 2320414489 6961243467 11602072445 20883730401 34806217335 104418652005