Search a number
-
+
68844838689 = 3211279512
BaseRepresentation
bin100000000011101111…
…0001101111100100001
320120200220201011110100
41000013132031330201
52111443234314224
651343223453013
74655016321264
oct1000736157441
9216626634410
1068844838689
1127219131300
1211413bb7169
136652022253
143491438cdb
151bcded0ac9
hex100778df21

68844838689 has 27 divisors (see below), whose sum is σ = 109318364337. Its totient is φ = 41718897000.

The previous prime is 68844838669. The next prime is 68844838691. The reversal of 68844838689 is 98683844886.

The square root of 68844838689 is 262383.

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

68844838689 is a `hidden beast` number, since 6 + 8 + 84 + 483 + 8 + 68 + 9 = 666.

It is not a de Polignac number, because 68844838689 - 213 = 68844830497 is a prime.

It is a super-2 number, since 2×688448386892 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68844838669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8654664 + ... + 8662614.

Almost surely, 268844838689 is an apocalyptic number.

68844838689 is the 262383-rd square number.

68844838689 is the 131192-nd centered octagonal number.

It is an amenable number.

68844838689 is a deficient number, since it is larger than the sum of its proper divisors (40473525648).

68844838689 is an frugal number, since it uses more digits than its factorization.

68844838689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15930 (or 7965 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 72.

The spelling of 68844838689 in words is "sixty-eight billion, eight hundred forty-four million, eight hundred thirty-eight thousand, six hundred eighty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 7951 23853 71559 87461 262383 787149 962071 2886213 8658639 63218401 189655203 568965609 695402411 2086207233 6258621699 7649426521 22948279563 68844838689