Search a number
-
+
115533553104432 = 243217313249350039
BaseRepresentation
bin11010010001001111000000…
…011001000111011000110000
3120011001220021221221221010100
4122101033000121013120300
5110120400204043320212
61045415214231032400
733223011102034311
oct3221170031073060
9504056257857110
10115533553104432
11338a3560857121
1210b5b21520b700
134c609c8a19328
142075bd4bb8608
15d5545d58cbdc
hex6913c0647630

115533553104432 has 120 divisors (see below), whose sum is σ = 325227939660000. Its totient is φ = 38285577068544.

The previous prime is 115533553104331. The next prime is 115533553104481. The reversal of 115533553104432 is 234401355335511.

115533553104432 is a `hidden beast` number, since 1 + 1 + 5 + 53 + 3 + 553 + 1 + 0 + 4 + 43 + 2 = 666.

115533553104432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 329884069 + ... + 330234107.

It is an arithmetic number, because the mean of its divisors is an integer number (2710232830500).

Almost surely, 2115533553104432 is an apocalyptic number.

115533553104432 is a gapful number since it is divisible by the number (12) 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 115533553104432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162613969830000).

115533553104432 is an abundant number, since it is smaller than the sum of its proper divisors (209694386555568).

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

115533553104432 is a wasteful number, since it uses less digits than its factorization.

115533553104432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363475 (or 363466 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 115533553104432 in words is "one hundred fifteen trillion, five hundred thirty-three billion, five hundred fifty-three million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 13249 24912 26498 39747 52996 79494 105992 119241 158988 211984 238482 317976 350039 476964 635952 700078 953928 1050117 1400156 1907856 2100234 2292077 2800312 3150351 4200468 4584154 5600624 6300702 6876231 8400936 9168308 12601404 13752462 16801872 18336616 20628693 25202808 27504924 36673232 41257386 50405616 55009848 60556747 82514772 110019696 121113494 165029544 181670241 242226988 330059088 363340482 484453976 545010723 726680964 968907952 1090021446 1453361928 2180042892 2906723856 4360085784 4637666711 8720171568 9275333422 13913000133 18550666844 27826000266 37101333688 41739000399 55652000532 74202667376 83478000798 111304001064 166956001596 222608002128 333912003192 667824006384 802316341003 1604632682006 2406949023009 3209265364012 4813898046018 6418530728024 7220847069027 9627796092036 12837061456048 14441694138054 19255592184072 28883388276108 38511184368144 57766776552216 115533553104432