Search a number
-
+
10516814505 = 325233706989
BaseRepresentation
bin10011100101101100…
…11101101010101001
31000010221020112100100
421302312131222221
5133014301031010
64455323500013
7521421306531
oct116266355251
930127215310
1010516814505
11450751643a
122056087609
13cb7aaba82
1471aa544c1
154184482c0
hex272d9daa9

10516814505 has 12 divisors (see below), whose sum is σ = 18229145220. Its totient is φ = 5608967712.

The previous prime is 10516814489. The next prime is 10516814543. The reversal of 10516814505 is 50541861501.

10516814505 is a `hidden beast` number, since 10 + 516 + 81 + 4 + 50 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8206185744 + 2310628761 = 90588^2 + 48069^2 .

It is not a de Polignac number, because 10516814505 - 24 = 10516814489 is a prime.

It is a super-2 number, since 2×105168145052 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10516814505.

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 11 ways as a sum of consecutive naturals, for example, 116853450 + ... + 116853539.

It is an arithmetic number, because the mean of its divisors is an integer number (1519095435).

Almost surely, 210516814505 is an apocalyptic number.

10516814505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10516814505 is a deficient number, since it is larger than the sum of its proper divisors (7712330715).

10516814505 is a wasteful number, since it uses less digits than its factorization.

10516814505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233707000 (or 233706997 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 10516814505 in words is "ten billion, five hundred sixteen million, eight hundred fourteen thousand, five hundred five".

Divisors: 1 3 5 9 15 45 233706989 701120967 1168534945 2103362901 3505604835 10516814505