Search a number
-
+
13216401360 = 24325131140123
BaseRepresentation
bin11000100111100001…
…00100011111010000
31021010001222202022200
430103300210133100
5204031344320420
610023241203200
7645341362251
oct142360443720
937101882280
1013216401360
11567234aa58
12268a190500
13132817c446
148d53bab28
1552544ab90
hex313c247d0

13216401360 has 120 divisors (see below), whose sum is σ = 44724217824. Its totient is φ = 3497445120.

The previous prime is 13216401343. The next prime is 13216401361. The reversal of 13216401360 is 6310461231.

13216401360 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 640 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13216401361) 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, 24259 + ... + 164381.

Almost surely, 213216401360 is an apocalyptic number.

13216401360 is a gapful number since it is divisible by the number (10) 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 13216401360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22362108912).

13216401360 is an abundant number, since it is smaller than the sum of its proper divisors (31507816464).

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

13216401360 is a wasteful number, since it uses less digits than its factorization.

13216401360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140273 (or 140264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13216401360 its reverse (6310461231), we get a palindrome (19526862591).

The spelling of 13216401360 in words is "thirteen billion, two hundred sixteen million, four hundred one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 262 360 393 524 655 720 786 1048 1179 1310 1572 1965 2096 2358 2620 3144 3930 4716 5240 5895 6288 7860 9432 10480 11790 15720 18864 23580 31440 47160 94320 140123 280246 420369 560492 700615 840738 1120984 1261107 1401230 1681476 2101845 2241968 2522214 2802460 3362952 4203690 5044428 5604920 6305535 6725904 8407380 10088856 11209840 12611070 16814760 18356113 20177712 25222140 33629520 36712226 50444280 55068339 73424452 91780565 100888560 110136678 146848904 165205017 183561130 220273356 275341695 293697808 330410034 367122260 440546712 550683390 660820068 734244520 826025085 881093424 1101366780 1321640136 1468489040 1652050170 2202733560 2643280272 3304100340 4405467120 6608200680 13216401360