Search a number
-
+
26199630769 = 132124512
BaseRepresentation
bin11000011001100111…
…101010001110110001
32111121220020010212011
4120121213222032301
5412124101141034
620011433002521
71615152121114
oct303147521661
974556203764
1026199630769
1110125010414
1250b2253441
132616c2b900
1413a781c57b
15a35188864
hex6199ea3b1

26199630769 has 9 divisors (see below), whose sum is σ = 28372293099. Its totient is φ = 24182332200.

The previous prime is 26199630739. The next prime is 26199630817. The reversal of 26199630769 is 96703699162.

The square root of 26199630769 is 161863.

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

It can be written as a sum of positive squares in only one way, i.e., 3875685025 + 22323945744 = 62255^2 + 149412^2 .

It is not a de Polignac number, because 26199630769 - 215 = 26199598001 is a prime.

It is a super-2 number, since 2×261996307692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26199630719) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2097994 + ... + 2110444.

It is an arithmetic number, because the mean of its divisors is an integer number (3152477011).

Almost surely, 226199630769 is an apocalyptic number.

26199630769 is the 161863-rd square number.

26199630769 is the 80932-nd centered octagonal number.

It is an amenable number.

26199630769 is a deficient number, since it is larger than the sum of its proper divisors (2172662330).

26199630769 is an frugal number, since it uses more digits than its factorization.

26199630769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24928 (or 12464 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 58.

The spelling of 26199630769 in words is "twenty-six billion, one hundred ninety-nine million, six hundred thirty thousand, seven hundred sixty-nine".

Divisors: 1 13 169 12451 161863 2104219 155027401 2015356213 26199630769