Search a number
-
+
26226025600 = 275222813593
BaseRepresentation
bin11000011011001100…
…010110010010000000
32111200201220010202111
4120123030112102000
5412202330304400
620014214425104
71615622353015
oct303314262200
974621803674
1026226025600
11101389a9225
1250bb062194
13261c540958
1413ab12d70c
15a3764e3ba
hex61b316480

26226025600 has 96 divisors (see below), whose sum is σ = 64832920740. Its totient is φ = 10482892800.

The previous prime is 26226025597. The next prime is 26226025643. The reversal of 26226025600 is 652062262.

It can be written as a sum of positive squares in 6 ways, for example, as 8392025664 + 17833999936 = 91608^2 + 133544^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7297404 + ... + 7300996.

Almost surely, 226226025600 is an apocalyptic number.

26226025600 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 26226025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32416460370).

26226025600 is an abundant number, since it is smaller than the sum of its proper divisors (38606895140).

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

26226025600 is a wasteful number, since it uses less digits than its factorization.

26226025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 26226025600 its reverse (652062262), we get a palindrome (26878087862).

The spelling of 26226025600 in words is "twenty-six billion, two hundred twenty-six million, twenty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 2281 3200 3593 4562 7186 9124 11405 14372 17965 18248 22810 28744 35930 36496 45620 57025 57488 71860 72992 89825 91240 114050 114976 143720 145984 179650 182480 228100 229952 287440 291968 359300 364960 456200 459904 574880 718600 729920 912400 1149760 1437200 1459840 1824800 2299520 2874400 3649600 5748800 7299200 8195633 11497600 16391266 32782532 40978165 65565064 81956330 131130128 163912660 204890825 262260256 327825320 409781650 524520512 655650640 819563300 1049041024 1311301280 1639126600 2622602560 3278253200 5245205120 6556506400 13113012800 26226025600