Search a number
-
+
245435005305 = 3257292926467
BaseRepresentation
bin1110010010010100010…
…0001111100101111001
3212110111210021002122200
43210211010033211321
513010122330132210
6304430135540413
723506052060220
oct3444504174571
9773453232580
10245435005305
11950a7731166
123b69782a709
131a1b53a9bb9
14bc44427cb7
1565b718d0c0
hex392510f979

245435005305 has 72 divisors (see below), whose sum is σ = 503539063872. Its totient is φ = 108329816448.

The previous prime is 245435005289. The next prime is 245435005381. The reversal of 245435005305 is 503500534542.

245435005305 is a `hidden beast` number, since 24 + 54 + 3 + 50 + 0 + 530 + 5 = 666.

245435005305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 245435005305 - 24 = 245435005289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 245435005305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198319 + ... + 728148.

Almost surely, 2245435005305 is an apocalyptic number.

It is an amenable number.

245435005305 is an abundant number, since it is smaller than the sum of its proper divisors (258104058567).

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

245435005305 is a wasteful number, since it uses less digits than its factorization.

245435005305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926543 (or 926511 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

Adding to 245435005305 its reverse (503500534542), we get a palindrome (748935539847).

The spelling of 245435005305 in words is "two hundred forty-five billion, four hundred thirty-five million, five thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 841 1015 1305 1827 2523 3045 4205 5887 7569 9135 12615 17661 29435 37845 52983 88305 264915 926467 2779401 4632335 6485269 8338203 13897005 19455807 26867543 32426345 41691015 58367421 80602629 97279035 134337715 188072801 241807887 291837105 403013145 564218403 779158747 940364005 1209039435 1692655209 2337476241 2821092015 3895793735 5454111229 7012428723 8463276045 11687381205 16362333687 27270556145 35062143615 49087001061 81811668435 245435005305