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26271223056 = 243213210392
BaseRepresentation
bin11000011101111000…
…110000110100010000
32111210212221102000100
4120131320300310100
5412300413114211
620022511252400
71620011466021
oct303570606420
974725842010
1026271223056
11101614697a1
12511221a100
132628a07100
1413b3136c48
15a3b5cb156
hex61de30d10

26271223056 has 135 divisors (see below), whose sum is σ = 79690293189. Its totient is φ = 8075673216.

The previous prime is 26271223051. The next prime is 26271223063. The reversal of 26271223056 is 65032217262.

The square root of 26271223056 is 162084.

It is a perfect power (a square), and thus also a powerful number.

26271223056 is a `hidden beast` number, since 2 + 627 + 1 + 2 + 23 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3886275600 + 22384947456 = 62340^2 + 149616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 26271223056.

It is not an unprimeable number, because it can be changed into a prime (26271223051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25284585 + ... + 25285623.

Almost surely, 226271223056 is an apocalyptic number.

26271223056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

26271223056 is the 162084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26271223056

26271223056 is an abundant number, since it is smaller than the sum of its proper divisors (53419070133).

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

26271223056 is a wasteful number, since it uses less digits than its factorization.

26271223056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 26271223056 by its sum of digits (36), we get a square (945764030016 = 9725042).

26271223056 divided by its sum of digits (36) gives a square (729756196 = 270142).

The spelling of 26271223056 in words is "twenty-six billion, two hundred seventy-one million, two hundred twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1039 1352 1521 1872 2028 2078 2704 3042 3117 4056 4156 6084 6234 8112 8312 9351 12168 12468 13507 16624 18702 24336 24936 27014 37404 40521 49872 54028 74808 81042 108056 121563 149616 162084 175591 216112 243126 324168 351182 486252 526773 648336 702364 972504 1053546 1079521 1404728 1580319 1945008 2107092 2159042 2809456 3160638 3238563 4214184 4318084 6321276 6477126 8428368 8636168 9715689 12642552 12954252 14033773 17272336 19431378 25285104 25908504 28067546 38862756 42101319 51817008 56135092 77725512 84202638 112270184 126303957 155451024 168405276 182439049 224540368 252607914 336810552 364878098 505215828 547317147 673621104 729756196 1010431656 1094634294 1459512392 1641951441 2020863312 2189268588 2919024784 3283902882 4378537176 6567805764 8757074352 13135611528 26271223056