Search a number
-
+
968967769869 = 321143227617517
BaseRepresentation
bin11100001100110101111…
…10101100111100001101
310102122002000210210120100
432012122332230330031
5111333421222113434
62021045422041313
7130001632101621
oct16063276547415
93378060723510
10968967769869
11343a34055110
12137961419239
13704b10c04a8
1434c80ca1181
151a3121e1699
hexe19afacf0d

968967769869 has 24 divisors (see below), whose sum is σ = 1562366643552. Its totient is φ = 573596140320.

The previous prime is 968967769841. The next prime is 968967769883.

It is a happy number.

968967769869 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 968967769869 - 28 = 968967769613 is a prime.

It is a super-2 number, since 2×9689677698692 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968967769069) 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 23 ways as a sum of consecutive naturals, for example, 113804502 + ... + 113813015.

It is an arithmetic number, because the mean of its divisors is an integer number (65098610148).

Almost surely, 2968967769869 is an apocalyptic number.

968967769869 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

968967769869 is a deficient number, since it is larger than the sum of its proper divisors (593398873683).

968967769869 is a wasteful number, since it uses less digits than its factorization.

968967769869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227617577 (or 227617574 counting only the distinct ones).

The product of its digits is 26665583616, while the sum is 90.

The spelling of 968967769869 in words is "nine hundred sixty-eight billion, nine hundred sixty-seven million, seven hundred sixty-nine thousand, eight hundred sixty-nine".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 4257 227617517 682852551 2048557653 2503792687 7511378061 9787553231 22534134183 29362659693 88087979079 107663085541 322989256623 968967769869