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26421253540 = 225117316310093
BaseRepresentation
bin11000100110110101…
…000101010110100100
32112012100020202010221
4120212311011112210
5413102320103130
620045431054124
71623512643463
oct304665052644
975170222127
1026421253540
1110229121930
125154511344
132650b16b46
1413c902c9da
15a4986487a
hex626d455a4

26421253540 has 96 divisors (see below), whose sum is σ = 61740395136. Its totient is φ = 9417047040.

The previous prime is 26421253517. The next prime is 26421253541. The reversal of 26421253540 is 4535212462.

It is a junction number, because it is equal to n+sod(n) for n = 26421253496 and 26421253505.

It is not an unprimeable number, because it can be changed into a prime (26421253541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2612734 + ... + 2622826.

It is an arithmetic number, because the mean of its divisors is an integer number (643129116).

Almost surely, 226421253540 is an apocalyptic number.

26421253540 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 26421253540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30870197568).

26421253540 is an abundant number, since it is smaller than the sum of its proper divisors (35319141596).

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

26421253540 is a wasteful number, since it uses less digits than its factorization.

26421253540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10349 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 26421253540 in words is "twenty-six billion, four hundred twenty-one million, two hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 163 220 292 326 365 652 730 803 815 1460 1606 1630 1793 3212 3260 3586 4015 7172 8030 8965 10093 11899 16060 17930 20186 23798 35860 40372 47596 50465 59495 100930 111023 118990 130889 201860 222046 237980 261778 444092 523556 555115 654445 736789 1110230 1308890 1473578 1645159 2220460 2617780 2947156 3290318 3683945 6580636 7367890 8104679 8225795 14735780 16209358 16451590 18096749 32418716 32903180 36193498 40523395 72386996 81046790 90483745 120096607 162093580 180967490 240193214 361934980 480386428 600483035 1200966070 1321062677 2401932140 2642125354 5284250708 6605313385 13210626770 26421253540