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26705225140 = 22511226341959
BaseRepresentation
bin11000110111110000…
…010110010110110100
32112221010120222221121
4120313300112112310
5414143014201030
620133533353324
71633531445146
oct306760262664
975833528847
1026705225140
1110364448a00
125213638844
1326978c2189
141414a2cc96
15a6475947a
hex637c165b4

26705225140 has 72 divisors (see below), whose sum is σ = 61878579840. Its totient is φ = 9673836480.

The previous prime is 26705225111. The next prime is 26705225143. The reversal of 26705225140 is 4152250762.

It is a junction number, because it is equal to n+sod(n) for n = 26705225096 and 26705225105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26705225143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615481 + ... + 657439.

It is an arithmetic number, because the mean of its divisors is an integer number (859424720).

Almost surely, 226705225140 is an apocalyptic number.

26705225140 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 26705225140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30939289920).

26705225140 is an abundant number, since it is smaller than the sum of its proper divisors (35173354700).

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

26705225140 is a wasteful number, since it uses less digits than its factorization.

26705225140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42253 (or 42240 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 26705225140 in words is "twenty-six billion, seven hundred five million, two hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 263 484 526 605 1052 1210 1315 2420 2630 2893 5260 5786 11572 14465 28930 31823 41959 57860 63646 83918 127292 159115 167836 209795 318230 419590 461549 636460 839180 923098 1846196 2307745 4615490 5077039 9230980 10154078 11035217 20308156 22070434 25385195 44140868 50770390 55176085 101540780 110352170 121387387 220704340 242774774 485549548 606936935 1213873870 1335261257 2427747740 2670522514 5341045028 6676306285 13352612570 26705225140