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26446713144 = 23341199135059
BaseRepresentation
bin11000101000010110…
…001101000100111000
32112021010011020011020
4120220112031010320
5413130324310034
620052140502440
71624242231645
oct305026150470
975233136136
1026446713144
1110241531025
125160b4aa20
13265618c2b7
1413cc578dcc
15a4bbe3249
hex62858d138

26446713144 has 64 divisors (see below), whose sum is σ = 68070240000. Its totient is φ = 8557274880.

The previous prime is 26446713143. The next prime is 26446713157. The reversal of 26446713144 is 44131764462.

It is a super-2 number, since 2×264467131442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26446713096 and 26446713105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26446713143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128287 + ... + 263345.

It is an arithmetic number, because the mean of its divisors is an integer number (1063597500).

Almost surely, 226446713144 is an apocalyptic number.

26446713144 is a gapful number since it is divisible by the number (24) 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 26446713144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34035120000).

26446713144 is an abundant number, since it is smaller than the sum of its proper divisors (41623526856).

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

26446713144 is a wasteful number, since it uses less digits than its factorization.

26446713144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135308 (or 135304 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The spelling of 26446713144 in words is "twenty-six billion, four hundred forty-six million, seven hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 199 246 328 398 492 597 796 984 1194 1592 2388 4776 8159 16318 24477 32636 48954 65272 97908 135059 195816 270118 405177 540236 810354 1080472 1620708 3241416 5537419 11074838 16612257 22149676 26876741 33224514 44299352 53753482 66449028 80630223 107506964 132898056 161260446 215013928 322520892 645041784 1101946381 2203892762 3305839143 4407785524 6611678286 8815571048 13223356572 26446713144