Base | Representation |
---|---|
bin | 11000011101011100… |
… | …010111100011100000 |
3 | 2111210100221020110000 |
4 | 120131130113203200 |
5 | 412242011421202 |
6 | 20022043540000 |
7 | 1616561304603 |
oct | 303534274340 |
9 | 74710836400 |
10 | 26263779552 |
11 | 1015824533a |
12 | 510b82a600 |
13 | 26272cc07a |
14 | 13b215a33a |
15 | a3ab0a91c |
hex | 61d7178e0 |
26263779552 has 120 divisors (see below), whose sum is σ = 77438641896. Its totient is φ = 8732199168.
The previous prime is 26263779551. The next prime is 26263779569. The reversal of 26263779552 is 25597736262.
26263779552 is a `hidden beast` number, since 2 + 626 + 3 + 7 + 7 + 9 + 5 + 5 + 2 = 666.
It is a super-3 number, since 3×262637795523 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (26263779551) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1016263 + ... + 1041785.
Almost surely, 226263779552 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 26263779552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38719320948).
26263779552 is an abundant number, since it is smaller than the sum of its proper divisors (51174862344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
26263779552 is a wasteful number, since it uses less digits than its factorization.
26263779552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25942 (or 25925 counting only the distinct ones).
The product of its digits is 9525600, while the sum is 54.
It can be divided in two parts, 26263 and 779552, that added together give a triangular number (805815 = T1269).
The spelling of 26263779552 in words is "twenty-six billion, two hundred sixty-three million, seven hundred seventy-nine thousand, five hundred fifty-two".
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