Search a number
-
+
13455230166 = 2337229175349
BaseRepresentation
bin11001000011111111…
…01000010011010110
31021201201101111212000
430201333220103112
5210024014331131
610103052140130
7654301366200
oct144177502326
937651344760
1013455230166
115785143634
122736167646
1313657b0171
14918dc9770
1553b3c4ce6
hex321fe84d6

13455230166 has 96 divisors (see below), whose sum is σ = 35981820000. Its totient is φ = 3711766464.

The previous prime is 13455230143. The next prime is 13455230179. The reversal of 13455230166 is 66103255431.

13455230166 is a `hidden beast` number, since 1 + 345 + 5 + 2 + 301 + 6 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13455230166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10941 + ... + 164408.

It is an arithmetic number, because the mean of its divisors is an integer number (374810625).

Almost surely, 213455230166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13455230166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17990910000).

13455230166 is an abundant number, since it is smaller than the sum of its proper divisors (22526589834).

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

13455230166 is a wasteful number, since it uses less digits than its factorization.

13455230166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175403 (or 175390 counting only the distinct ones).

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

Adding to 13455230166 its reverse (66103255431), we get a palindrome (79558485597).

The spelling of 13455230166 in words is "thirteen billion, four hundred fifty-five million, two hundred thirty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 126 147 174 189 203 261 294 378 406 441 522 609 783 882 1218 1323 1421 1566 1827 2646 2842 3654 4263 5481 8526 10962 12789 25578 38367 76734 175349 350698 526047 1052094 1227443 1578141 2454886 3156282 3682329 4734423 5085121 7364658 8592101 9468846 10170242 11046987 15255363 17184202 22093974 25776303 30510726 33140961 35595847 45766089 51552606 66281922 71191694 77328909 91532178 106787541 137298267 154657818 213575082 231986727 249170929 274596534 320362623 463973454 498341858 640725246 747512787 961087869 1495025574 1922175738 2242538361 4485076722 6727615083 13455230166