Search a number
-
+
26376683281 = 134314
BaseRepresentation
bin11000100100001011…
…000011111100010001
32112002020101100020121
4120210023003330101
5413004412331111
620041155510241
71622432052154
oct304413037421
975066340217
1026376683281
1110205a4a603
1251415b8381
132644810000
1413c3149c9b
15a459ad871
hex6242c3f11

26376683281 has 25 divisors (see below), whose sum is σ = 29527151005. Its totient is φ = 23562297720.

The previous prime is 26376683227. The next prime is 26376683303. The reversal of 26376683281 is 18238667362.

The square root of 26376683281 is 162409.

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

It can be written as a sum of positive squares in 2 ways, for example, as 13077980881 + 13298702400 = 114359^2 + 115320^2 .

It is not a de Polignac number, because 26376683281 - 227 = 26242465553 is a prime.

It is a super-2 number, since 2×263766832812 (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 (26376681281) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 850860736 + ... + 850860766.

Almost surely, 226376683281 is an apocalyptic number.

26376683281 is the 162409-th square number.

26376683281 is the 81205-th centered octagonal number.

It is an amenable number.

26376683281 is a deficient number, since it is larger than the sum of its proper divisors (3150467724).

26376683281 is an frugal number, since it uses more digits than its factorization.

26376683281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 44 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The spelling of 26376683281 in words is "twenty-six billion, three hundred seventy-six million, six hundred eighty-three thousand, two hundred eighty-one".

Divisors: 1 13 31 169 403 961 2197 5239 12493 28561 29791 68107 162409 387283 885391 923521 2111317 5034679 12005773 27447121 65450827 156075049 850860751 2028975637 26376683281