Search a number
-
+
1009258500185 = 51315527053849
BaseRepresentation
bin11101010111111000111…
…11101001000001011001
310120111001221220222002022
432223330133221001121
5113013430134001220
62051351424144225
7132626236463645
oct16537437510131
93514057828068
101009258500185
1135a02a126141
12143726768075
1374232476510
1436bc3d0bc25
151b3be4a5925
hexeafc7e9059

1009258500185 has 8 divisors (see below), whose sum is σ = 1304272523400. Its totient is φ = 745298584704.

The previous prime is 1009258500161. The next prime is 1009258500193. The reversal of 1009258500185 is 5810058529001.

It can be written as a sum of positive squares in 4 ways, for example, as 170251963456 + 839006536729 = 412616^2 + 915973^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1009258500185 - 216 = 1009258434649 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7763526860 + ... + 7763526989.

It is an arithmetic number, because the mean of its divisors is an integer number (163034065425).

Almost surely, 21009258500185 is an apocalyptic number.

It is an amenable number.

1009258500185 is a deficient number, since it is larger than the sum of its proper divisors (295014023215).

1009258500185 is a wasteful number, since it uses less digits than its factorization.

1009258500185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15527053867.

The product of its (nonzero) digits is 144000, while the sum is 44.

The spelling of 1009258500185 in words is "one trillion, nine billion, two hundred fifty-eight million, five hundred thousand, one hundred eighty-five".

Divisors: 1 5 13 65 15527053849 77635269245 201851700037 1009258500185