Search a number
-
+
13336092324 = 223219210132
BaseRepresentation
bin11000110101110010…
…01001111010100100
31021102102012200110100
430122321021322210
5204303014423244
610043154424100
7651323625432
oct143271117244
937372180410
1013336092324
115723970605
122702292030
131346bc87b9
14907255d52
15530bdeb69
hex31ae49ea4

13336092324 has 81 divisors (see below), whose sum is σ = 35613461793. Its totient is φ = 4207240224.

The previous prime is 13336092307. The next prime is 13336092331. The reversal of 13336092324 is 42329063331.

The square root of 13336092324 is 115482.

It is a perfect power (a square), and thus also a powerful number.

13336092324 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 609 + 23 + 24 = 666.

13336092324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 26316900 + 13309775424 = 5130^2 + 115368^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13164442 + ... + 13165454.

Almost surely, 213336092324 is an apocalyptic number.

13336092324 is the 115482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13336092324

13336092324 is an abundant number, since it is smaller than the sum of its proper divisors (22277369469).

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

13336092324 is a wasteful number, since it uses less digits than its factorization.

13336092324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Multiplying 13336092324 by its sum of digits (36), we get a square (480099323664 = 6928922).

13336092324 divided by its sum of digits (36) gives a square (370447009 = 192472).

The spelling of 13336092324 in words is "thirteen billion, three hundred thirty-six million, ninety-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1013 1083 1444 2026 2166 3039 3249 4052 4332 6078 6498 9117 12156 12996 18234 19247 36468 38494 57741 76988 115482 173223 230964 346446 365693 692892 731386 1026169 1097079 1462772 2052338 2194158 3078507 3291237 4104676 4388316 6157014 6582474 9235521 12314028 13164948 18471042 19497211 36942084 38994422 58491633 77988844 116983266 175474899 233966532 350949798 370447009 701899596 740894018 1111341027 1481788036 2222682054 3334023081 4445364108 6668046162 13336092324