Search a number
-
+
11545443234450 = 23252415910606259
BaseRepresentation
bin1010100000000010001000…
…0010101111001010010010
31111212201210210022212222100
42220000202002233022102
53003130031432000300
640315523045021230
72301062563161666
oct250004202571222
944781723285870
1011545443234450
113751438798014
1213657016b4816
13659966251368
142bcb33c448a6
151504cbace700
hexa80220af292

11545443234450 has 144 divisors (see below), whose sum is σ = 32313880216800. Its totient is φ = 2952782227200.

The previous prime is 11545443234431. The next prime is 11545443234541. The reversal of 11545443234450 is 5443234454511.

11545443234450 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 544 + 32 + 34 + 45 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 11545443234396 and 11545443234405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4214580 + ... + 6391679.

It is an arithmetic number, because the mean of its divisors is an integer number (224401945950).

Almost surely, 211545443234450 is an apocalyptic number.

11545443234450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11545443234450 is an abundant number, since it is smaller than the sum of its proper divisors (20768436982350).

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

11545443234450 is a wasteful number, since it uses less digits than its factorization.

11545443234450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10606377 (or 10606369 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 11545443234450 its reverse (5443234454511), we get a palindrome (16988677688961).

The spelling of 11545443234450 in words is "eleven trillion, five hundred forty-five billion, four hundred forty-three million, two hundred thirty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 59 75 82 90 118 123 150 177 205 225 246 295 354 369 410 450 531 590 615 738 885 1025 1062 1230 1475 1770 1845 2050 2419 2655 2950 3075 3690 4425 4838 5310 6150 7257 8850 9225 12095 13275 14514 18450 21771 24190 26550 36285 43542 60475 72570 108855 120950 181425 217710 362850 544275 1088550 10606259 21212518 31818777 53031295 63637554 95456331 106062590 159093885 190912662 265156475 318187770 434856619 477281655 530312950 625769281 795469425 869713238 954563310 1251538562 1304569857 1590938850 1877307843 2174283095 2386408275 2609139714 3128846405 3754615686 3913709571 4348566190 4772816550 5631923529 6257692810 6522849285 7827419142 9386539215 10871415475 11263847058 13045698570 15644232025 18773078430 19568547855 21742830950 25656540521 28159617645 31288464050 32614246425 39137095710 46932696075 51313081042 56319235290 65228492850 76969621563 93865392150 97842739275 128282702605 140798088225 153939243126 195685478550 230908864689 256565405210 281596176450 384848107815 461817729378 641413513025 769696215630 1154544323445 1282827026050 1924240539075 2309088646890 3848481078150 5772721617225 11545443234450