Search a number
-
+
26576000776 = 2313675696703
BaseRepresentation
bin11000110000000011…
…011001011100001000
32112121010102201110001
4120300003121130020
5413411424011101
620113035532344
71630402164553
oct306003313410
975533381401
1026576000776
11102a8506806
1251982ba0b4
132676bb8760
1414017d169a
15a58230901
hex6300d9708

26576000776 has 64 divisors (see below), whose sum is σ = 54567878400. Its totient is φ = 12059739648.

The previous prime is 26576000753. The next prime is 26576000779. The reversal of 26576000776 is 67700067562.

It is not an unprimeable number, because it can be changed into a prime (26576000779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3961441 + ... + 3968143.

It is an arithmetic number, because the mean of its divisors is an integer number (852623100).

Almost surely, 226576000776 is an apocalyptic number.

26576000776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

26576000776 is the 87139-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26576000776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27283939200).

26576000776 is an abundant number, since it is smaller than the sum of its proper divisors (27991877624).

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

26576000776 is a wasteful number, since it uses less digits than its factorization.

26576000776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 46.

The spelling of 26576000776 in words is "twenty-six billion, five hundred seventy-six million, seven hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 52 67 104 134 268 536 569 871 1138 1742 2276 3484 4552 6703 6968 7397 13406 14794 26812 29588 38123 53624 59176 76246 87139 152492 174278 304984 348556 449101 495599 697112 898202 991198 1796404 1982396 3592808 3814007 3964792 5838313 7628014 11676626 15256028 23353252 30512056 46706504 49582091 99164182 198328364 255538469 396656728 511076938 1022153876 2044307752 3322000097 6644000194 13288000388 26576000776