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104435432505 = 3252320787389
BaseRepresentation
bin110000101000011010…
…1100011110000111001
3100222120021200122210200
41201100311203300321
53202340432320010
6115551005432413
710355002346415
oct1412065436071
9328507618720
10104435432505
11403220961a8
12182a726b709
139b046ca311
1450aa15dd45
152ab3821cc0
hex1850d63c39

104435432505 has 12 divisors (see below), whose sum is σ = 181021416420. Its totient is φ = 55698897312.

The previous prime is 104435432501. The next prime is 104435432537. The reversal of 104435432505 is 505234534401.

104435432505 is a `hidden beast` number, since 10 + 44 + 354 + 3 + 250 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23877666576 + 80557765929 = 154524^2 + 283827^2 .

It is not a de Polignac number, because 104435432505 - 22 = 104435432501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104435432505.

It is not an unprimeable number, because it can be changed into a prime (104435432501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1160393650 + ... + 1160393739.

It is an arithmetic number, because the mean of its divisors is an integer number (15085118035).

Almost surely, 2104435432505 is an apocalyptic number.

104435432505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104435432505 is a deficient number, since it is larger than the sum of its proper divisors (76585983915).

104435432505 is a wasteful number, since it uses less digits than its factorization.

104435432505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320787400 (or 2320787397 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 104435432505 its reverse (505234534401), we get a palindrome (609669966906).

The spelling of 104435432505 in words is "one hundred four billion, four hundred thirty-five million, four hundred thirty-two thousand, five hundred five".

Divisors: 1 3 5 9 15 45 2320787389 6962362167 11603936945 20887086501 34811810835 104435432505