Search a number
-
+
13531131360 = 253259396619
BaseRepresentation
bin11001001101000010…
…01010110111100000
31021221000012200201100
430212201022313200
5210202432200420
610114403034400
7656212501365
oct144641126740
937830180640
1013531131360
115813a7529a
12275766ba00
131378436a06
1492510646c
15542db9190
hex32684ade0

13531131360 has 72 divisors (see below), whose sum is σ = 46174990680. Its totient is φ = 3608301312.

The previous prime is 13531131353. The next prime is 13531131421. The reversal of 13531131360 is 6313113531.

13531131360 is a `hidden beast` number, since 1 + 35 + 311 + 313 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4696870 + ... + 4699749.

It is an arithmetic number, because the mean of its divisors is an integer number (641319315).

Almost surely, 213531131360 is an apocalyptic number.

13531131360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13531131360 is an abundant number, since it is smaller than the sum of its proper divisors (32643859320).

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

13531131360 is a wasteful number, since it uses less digits than its factorization.

13531131360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9396640 (or 9396629 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

Adding to 13531131360 its reverse (6313113531), we get a palindrome (19844244891).

The spelling of 13531131360 in words is "thirteen billion, five hundred thirty-one million, one hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9396619 18793238 28189857 37586476 46983095 56379714 75172952 84569571 93966190 112759428 140949285 150345904 169139142 187932380 225518856 281898570 300691808 338278284 375864760 422847855 451037712 563797140 676556568 751729520 845695710 902075424 1127594280 1353113136 1503459040 1691391420 2255188560 2706226272 3382782840 4510377120 6765565680 13531131360