Search a number
-
+
12164325525 = 3352116072699
BaseRepresentation
bin10110101010000110…
…01110000010010101
31011101202022202121000
423111003032002111
5144403031404100
65331015413513
7610305026622
oct132503160225
934352282530
1012164325525
1151824988a0
122435984299
1311bb20b071
14835795349
154b2dce900
hex2d50ce095

12164325525 has 96 divisors (see below), whose sum is σ = 24427008000. Its totient is φ = 5885956800.

The previous prime is 12164325517. The next prime is 12164325541. The reversal of 12164325525 is 52552346121.

12164325525 is a `hidden beast` number, since 1 + 2 + 1 + 643 + 2 + 5 + 5 + 2 + 5 = 666.

It is not a de Polignac number, because 12164325525 - 23 = 12164325517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12164325525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4505626 + ... + 4508324.

It is an arithmetic number, because the mean of its divisors is an integer number (254448000).

Almost surely, 212164325525 is an apocalyptic number.

12164325525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12164325525 is an abundant number, since it is smaller than the sum of its proper divisors (12262682475).

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

12164325525 is a wasteful number, since it uses less digits than its factorization.

12164325525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3325 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 12164325525 in words is "twelve billion, one hundred sixty-four million, three hundred twenty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 607 675 825 1485 1821 2475 2699 3035 5463 6677 7425 8097 9105 13495 15175 16389 20031 24291 27315 29689 33385 40485 45525 60093 67475 72873 81945 89067 100155 121455 136575 148445 166925 180279 202425 267201 300465 364365 409725 445335 500775 607275 742225 801603 901395 1336005 1502325 1638293 1821825 2226675 4008015 4506975 4914879 6680025 8191465 14744637 18021223 20040075 24574395 40957325 44233911 54063669 73723185 90106115 122871975 162191007 221169555 270318345 368615925 450530575 486573021 810955035 1105847775 1351591725 2432865105 4054775175 12164325525