Search a number
-
+
26012405600 = 255285338119
BaseRepresentation
bin11000001110011101…
…011100111101100000
32111010211221010012122
4120032131130331200
5411233133434400
615541104043412
71610416541126
oct301635347540
974124833178
1026012405600
1110039363375
12505b603568
1325b71c819c
14138aa03916
15a23a04685
hex60e75cf60

26012405600 has 72 divisors (see below), whose sum is σ = 63578899440. Its totient is φ = 10392491520.

The previous prime is 26012405533. The next prime is 26012405647. The reversal of 26012405600 is 650421062.

It is a super-2 number, since 2×260124056002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26012405600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 663341 + ... + 701459.

It is an arithmetic number, because the mean of its divisors is an integer number (883040270).

Almost surely, 226012405600 is an apocalyptic number.

26012405600 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 26012405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31789449720).

26012405600 is an abundant number, since it is smaller than the sum of its proper divisors (37566493840).

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

26012405600 is a wasteful number, since it uses less digits than its factorization.

26012405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38992 (or 38979 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 26012405600 its reverse (650421062), we get a palindrome (26662826662).

The spelling of 26012405600 in words is "twenty-six billion, twelve million, four hundred five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 853 1706 3412 4265 6824 8530 13648 17060 21325 27296 34120 38119 42650 68240 76238 85300 136480 152476 170600 190595 304952 341200 381190 609904 682400 762380 952975 1219808 1524760 1905950 3049520 3811900 6099040 7623800 15247600 30495200 32515507 65031014 130062028 162577535 260124056 325155070 520248112 650310140 812887675 1040496224 1300620280 1625775350 2601240560 3251550700 5202481120 6503101400 13006202800 26012405600