Search a number
-
+
26227753344 = 273413194591
BaseRepresentation
bin11000011011010010…
…111100000110000000
32111200212010220210000
4120123102330012000
5412203301101334
620014315440000
71615643140122
oct303322740600
974625126700
1026227753344
1110139979311
1250bb756000
13261c9c71a0
1413ab45d212
15a37891299
hex61b4bc180

26227753344 has 160 divisors (see below), whose sum is σ = 84057906240. Its totient is φ = 8070036480.

The previous prime is 26227753339. The next prime is 26227753351. The reversal of 26227753344 is 44335772262.

26227753344 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 77 + 533 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26227753344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37489 + ... + 232079.

It is an arithmetic number, because the mean of its divisors is an integer number (525361914).

Almost surely, 226227753344 is an apocalyptic number.

26227753344 is a gapful number since it is divisible by the number (24) 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 26227753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42028953120).

26227753344 is an abundant number, since it is smaller than the sum of its proper divisors (57830152896).

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

26227753344 is a wasteful number, since it uses less digits than its factorization.

26227753344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194630 (or 194609 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 45.

The spelling of 26227753344 in words is "twenty-six billion, two hundred twenty-seven million, seven hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10368 11232 14976 16848 22464 33696 44928 67392 134784 194591 389182 583773 778364 1167546 1556728 1751319 2335092 2529683 3113456 3502638 4670184 5059366 5253957 6226912 7005276 7589049 9340368 10118732 10507914 12453824 14010552 15178098 15761871 18680736 20237464 21015828 22767147 24907648 28021104 30356196 31523742 37361472 40474928 42031656 45534294 56042208 60712392 63047484 68301441 74722944 80949856 84063312 91068588 112084416 121424784 126094968 136602882 161899712 168126624 182137176 204904323 224168832 242849568 252189936 273205764 323799424 336253248 364274352 409808646 485699136 504379872 546411528 672506496 728548704 819617292 971398272 1008759744 1092823056 1457097408 1639234584 2017519488 2185646112 2914194816 3278469168 4371292224 6556938336 8742584448 13113876672 26227753344