Search a number
-
+
26206105689 = 34179872
BaseRepresentation
bin11000011010000000…
…010111000001011001
32111122100102002210000
4120122000113001121
5412132230340224
620012223443213
71615261136331
oct303200270131
974570362700
1026206105689
1110128733095
1250b4456509
132618387b1a
1413a86260c1
15a35a170c9
hex61a017059

26206105689 has 15 divisors (see below), whose sum is σ = 39149568997. Its totient is φ = 17469765828.

The previous prime is 26206105663. The next prime is 26206105721. The reversal of 26206105689 is 98650160262.

The square root of 26206105689 is 161883.

It is a perfect power (a square), and thus also a powerful number.

26206105689 is a `hidden beast` number, since 2 + 6 + 20 + 61 + 0 + 568 + 9 = 666.

It is not a de Polignac number, because 26206105689 - 211 = 26206103641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26206100689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1447954 + ... + 1465940.

Almost surely, 226206105689 is an apocalyptic number.

26206105689 is the 161883-rd square number.

26206105689 is the 80942-nd centered octagonal number.

It is an amenable number.

26206105689 is a deficient number, since it is larger than the sum of its proper divisors (12943463308).

26206105689 is an frugal number, since it uses more digits than its factorization.

26206105689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35986 (or 17990 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 26206105689 in words is "twenty-six billion, two hundred six million, one hundred five thousand, six hundred eighty-nine".

Divisors: 1 3 9 27 81 17987 53961 161883 485649 1456947 323532169 970596507 2911789521 8735368563 26206105689