Search a number
-
+
1086611811841 = 17180135490473
BaseRepresentation
bin11111100111111110001…
…11000110111000000001
310211212201211211100020001
433303333013012320001
5120300340110434331
62151103234120001
7141335153002003
oct17637707067001
93755654740201
101086611811841
11389914049086
12156714120001
137b60c16c44a
143a841370373
151d3ea420561
hexfcff1c6e01

1086611811841 has 8 divisors (see below), whose sum is σ = 1151169014664. Its totient is φ = 1022125593600.

The previous prime is 1086611811839. The next prime is 1086611811869. The reversal of 1086611811841 is 1481181166801.

It can be written as a sum of positive squares in 4 ways, for example, as 465265866816 + 621345945025 = 682104^2 + 788255^2 .

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 1086611811841 - 21 = 1086611811839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1086611811791 and 1086611811800.

It is not an unprimeable number, because it can be changed into a prime (1086611811041) by changing a digit.

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, 17714620 + ... + 17775853.

It is an arithmetic number, because the mean of its divisors is an integer number (143896126833).

Almost surely, 21086611811841 is an apocalyptic number.

It is an amenable number.

1086611811841 is a deficient number, since it is larger than the sum of its proper divisors (64557202823).

1086611811841 is a wasteful number, since it uses less digits than its factorization.

1086611811841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35492291.

The product of its (nonzero) digits is 73728, while the sum is 46.

The spelling of 1086611811841 in words is "one trillion, eighty-six billion, six hundred eleven million, eight hundred eleven thousand, eight hundred forty-one".

Divisors: 1 17 1801 30617 35490473 603338041 63918341873 1086611811841