Search a number
-
+
26270233656 = 23323257281659
BaseRepresentation
bin11000011101110100…
…111111010000111000
32111210211002010210220
4120131310333100320
5412300134434111
620022434140040
71620000205332
oct303564772070
974724063726
1026270233656
1110160953407
125111a21620
13262874b974
1413b2d5a452
15a3b482e06
hex61dd3f438

26270233656 has 128 divisors (see below), whose sum is σ = 69147302400. Its totient is φ = 8301117440.

The previous prime is 26270233651. The next prime is 26270233673. The reversal of 26270233656 is 65633207262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26270233651) 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 31 ways as a sum of consecutive naturals, for example, 39863455 + ... + 39864113.

It is an arithmetic number, because the mean of its divisors is an integer number (540213300).

Almost surely, 226270233656 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 26270233656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34573651200).

26270233656 is an abundant number, since it is smaller than the sum of its proper divisors (42877068744).

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

26270233656 is a wasteful number, since it uses less digits than its factorization.

26270233656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 26270233656 in words is "twenty-six billion, two hundred seventy million, two hundred thirty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 257 276 281 514 552 562 659 771 843 1028 1124 1318 1542 1686 1977 2056 2248 2636 3084 3372 3954 5272 5911 6168 6463 6744 7908 11822 12926 15157 15816 17733 19389 23644 25852 30314 35466 38778 45471 47288 51704 60628 70932 72217 77556 90942 121256 141864 144434 155112 169363 181884 185179 216651 288868 338726 363768 370358 433302 508089 555537 577736 677452 740716 866604 1016178 1111074 1354904 1481432 1660991 1733208 2032356 2222148 3321982 3895349 4064712 4259117 4444296 4982973 6643964 7790698 8518234 9965946 11686047 12777351 13287928 15581396 17036468 19931892 23372094 25554702 31162792 34072936 39863784 46744188 47591003 51109404 93488376 95182006 102218808 142773009 190364012 285546018 380728024 571092036 1094593069 1142184072 2189186138 3283779207 4378372276 6567558414 8756744552 13135116828 26270233656