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26426344110336 = 283429212312
BaseRepresentation
bin1100000001000110111001…
…10110100111100100000000
310110120100000100122220010000
412000203130312213210000
511430432123043012321
6132112032255040000
75365145304463362
oct600433466474400
9113510010586100
1026426344110336
1184693933538a5
122b69729210000
131198cbbac8a21
14675082cbad32
1530c6233de826
hex1808dcda7900

26426344110336 has 405 divisors, whose sum is σ = 81675814212993. Its totient is φ = 8498121246720.

The previous prime is 26426344110329. The next prime is 26426344110377. The reversal of 26426344110336 is 63301144362462.

It is a happy number.

The square root of 26426344110336 is 5140656.

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

26426344110336 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 634 + 4 + 1 + 1 + 0 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13857333831936 + 12569010278400 = 3722544^2 + 3545280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26426344110291 and 26426344110300.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21467378841 + ... + 21467380071.

Almost surely, 226426344110336 is an apocalyptic number.

26426344110336 is the 5140656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26426344110336

26426344110336 is an abundant number, since it is smaller than the sum of its proper divisors (55249470102657).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26426344110336 is an frugal number, since it uses more digits than its factorization.

26426344110336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

Adding to 26426344110336 its reverse (63301144362462), we get a palindrome (89727488472798).

The spelling of 26426344110336 in words is "twenty-six trillion, four hundred twenty-six billion, three hundred forty-four million, one hundred ten thousand, three hundred thirty-six".