Search a number
-
+
26556610740 = 2235111012691481
BaseRepresentation
bin11000101110111001…
…011011100010110100
32112112202221121022120
4120232321123202310
5413341443020430
620111104155540
71630045316052
oct305671334264
975482847276
1026556610740
1110298572790
125191908bb0
132672b89b6a
1413dcdc51d2
15a566a0610
hex62ee5b8b4

26556610740 has 192 divisors, whose sum is σ = 82281588480. Its totient is φ = 6346240000.

The previous prime is 26556610739. The next prime is 26556610747. The reversal of 26556610740 is 4701665562.

It is a junction number, because it is equal to n+sod(n) for n = 26556610692 and 26556610701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26556610747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17930800 + ... + 17932280.

It is an arithmetic number, because the mean of its divisors is an integer number (428549940).

Almost surely, 226556610740 is an apocalyptic number.

26556610740 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 26556610740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140794240).

26556610740 is an abundant number, since it is smaller than the sum of its proper divisors (55724977740).

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

26556610740 is a wasteful number, since it uses less digits than its factorization.

26556610740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 26556610740 in words is "twenty-six billion, five hundred fifty-six million, six hundred ten thousand, seven hundred forty".