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12724324380 = 22325699710103
BaseRepresentation
bin10111101100110110…
…11100100000011100
31012211210001122121100
423312123130200130
5202024411340010
65502342233100
7630214654425
oct136633344034
935753048540
1012724324380
11543a605269
122571425790
13127a23c731
14889cc864c
154e714a2c0
hex2f66dc81c

12724324380 has 72 divisors (see below), whose sum is σ = 38606454432. Its totient is φ = 3392332416.

The previous prime is 12724324331. The next prime is 12724324381. The reversal of 12724324380 is 8342342721.

It is a happy number.

12724324380 is a `hidden beast` number, since 1 + 272 + 4 + 3 + 2 + 4 + 380 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12724324381) 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, 1254409 + ... + 1264511.

It is an arithmetic number, because the mean of its divisors is an integer number (536200756).

Almost surely, 212724324380 is an apocalyptic number.

12724324380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12724324380 is an abundant number, since it is smaller than the sum of its proper divisors (25882130052).

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

12724324380 is a wasteful number, since it uses less digits than its factorization.

12724324380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17115 (or 17110 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 12724324380 in words is "twelve billion, seven hundred twenty-four million, three hundred twenty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6997 10103 13994 20206 20991 27988 30309 34985 40412 41982 50515 60618 62973 69970 83964 90927 101030 104955 121236 125946 139940 151545 181854 202060 209910 251892 303090 314865 363708 419820 454635 606180 629730 909270 1259460 1818540 70690691 141381382 212072073 282762764 353453455 424144146 636216219 706906910 848288292 1060360365 1272432438 1413813820 2120720730 2544864876 3181081095 4241441460 6362162190 12724324380