| Base | Representation |
|---|---|
| bin | 11000100101100101… |
| … | …011111110100000000 |
| 3 | 2112010212222210022001 |
| 4 | 120211211133310000 |
| 5 | 413031444443100 |
| 6 | 20043403553344 |
| 7 | 1623140421136 |
| oct | 304545376400 |
| 9 | 75125883261 |
| 10 | 26400390400 |
| 11 | 1021837206a |
| 12 | 514952b854 |
| 13 | 26496c08a7 |
| 14 | 13c635b756 |
| 15 | a47ae2d6a |
| hex | 62595fd00 |
26400390400 has 108 divisors (see below), whose sum is σ = 66080731500. Its totient is φ = 10441277440.
The previous prime is 26400390391. The next prime is 26400390409. The reversal of 26400390400 is 409300462.
It is an interprime number because it is at equal distance from previous prime (26400390391) and next prime (26400390409).
It can be written as a sum of positive squares in 6 ways, for example, as 5599828224 + 20800562176 = 74832^2 + 144224^2 .
It is a super-2 number, since 2×264003904002 (a number of 22 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (26400390409) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546426 + ... + 592774.
It is an arithmetic number, because the mean of its divisors is an integer number (611858625).
Almost surely, 226400390400 is an apocalyptic number.
26400390400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 26400390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33040365750).
26400390400 is an abundant number, since it is smaller than the sum of its proper divisors (39680341100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
26400390400 is an equidigital number, since it uses as much as digits as its factorization.
26400390400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 46464 (or 46445 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 28.
Adding to 26400390400 its reverse (409300462), we get a palindrome (26809690862).
The spelling of 26400390400 in words is "twenty-six billion, four hundred million, three hundred ninety thousand, four hundred".
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