Search a number
-
+
14986166724 = 223622672
BaseRepresentation
bin11011111010011111…
…01100000111000100
31102200102010011000000
431331033230013010
5221142424313344
610515021321300
71040241213114
oct157517540704
942612104000
1014986166724
1163a0333961
122aa2a06230
13154aa14799
14a22463044
155ca9d0a69
hex37d3ec1c4

14986166724 has 63 divisors (see below), whose sum is σ = 39338052607. Its totient is φ = 4993185384.

The previous prime is 14986166677. The next prime is 14986166729. The reversal of 14986166724 is 42766168941.

The square root of 14986166724 is 122418.

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

14986166724 is a `hidden beast` number, since 14 + 9 + 8 + 616 + 6 + 7 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14986166729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6609439 + ... + 6611705.

Almost surely, 214986166724 is an apocalyptic number.

14986166724 is the 122418-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14986166724

14986166724 is an abundant number, since it is smaller than the sum of its proper divisors (24351885883).

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

14986166724 is an frugal number, since it uses more digits than its factorization.

14986166724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 2272 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 14986166724 in words is "fourteen billion, nine hundred eighty-six million, one hundred sixty-six thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2267 2916 4534 6801 9068 13602 20403 27204 40806 61209 81612 122418 183627 244836 367254 550881 734508 1101762 1652643 2203524 3305286 5139289 6610572 10278578 15417867 20557156 30835734 46253601 61671468 92507202 138760803 185014404 277521606 416282409 555043212 832564818 1248847227 1665129636 2497694454 3746541681 4995388908 7493083362 14986166724