Search a number
-
+
26530121531232 = 25321136131231779
BaseRepresentation
bin1100000100001000001100…
…11110000011111101100000
310110221020212210012002200100
412002010012132003331200
511434132142102444412
6132231434121222400
75405511100140654
oct602040636037540
9113836783162610
1026530121531232
1184a93a7a69150
122b85870031a00
1311a5a1a098557
1467a0c98b2a64
15310199084edc
hex182106783f60

26530121531232 has 144 divisors (see below), whose sum is σ = 82306305506880. Its totient is φ = 8039173574400.

The previous prime is 26530121531209. The next prime is 26530121531237. The reversal of 26530121531232 is 23213512103562.

26530121531232 is a `hidden beast` number, since 2 + 6 + 5 + 301 + 2 + 1 + 5 + 312 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26530121531237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114347119 + ... + 114578897.

It is an arithmetic number, because the mean of its divisors is an integer number (571571566020).

Almost surely, 226530121531232 is an apocalyptic number.

26530121531232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

26530121531232 is an abundant number, since it is smaller than the sum of its proper divisors (55776183975648).

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

26530121531232 is a wasteful number, since it uses less digits than its factorization.

26530121531232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267937 (or 267926 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 26530121531232 its reverse (23213512103562), we get a palindrome (49743633634794).

The spelling of 26530121531232 in words is "twenty-six trillion, five hundred thirty billion, one hundred twenty-one million, five hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 36131 72262 108393 144524 216786 231779 289048 325179 397441 433572 463558 578096 650358 695337 794882 867144 927116 1156192 1192323 1300716 1390674 1589764 1734288 1854232 2086011 2384646 2549569 2601432 2781348 3179528 3468576 3576969 3708464 4172022 4769292 5099138 5202864 5562696 6359056 7153938 7416928 7648707 8344044 9538584 10198276 10405728 11125392 12718112 14307876 15297414 16688088 19077168 20396552 22250784 22946121 28615752 30594828 33376176 38154336 40793104 45892242 57231504 61189656 66752352 81586208 91784484 114463008 122379312 183568968 244758624 367137936 734275872 8374407049 16748814098 25123221147 33497628196 50246442294 66995256392 75369663441 92118477539 100492884588 133990512784 150739326882 184236955078 200985769176 267981025568 276355432617 301478653764 368473910156 401971538352 552710865234 602957307528 736947820312 803943076704 829066297851 1105421730468 1205914615056 1473895640624 1658132595702 2210843460936 2411829230112 2947791281248 3316265191404 4421686921872 6632530382808 8843373843744 13265060765616 26530121531232