Search a number
-
+
14463665656 = 2311538337363
BaseRepresentation
bin11010111100001101…
…00000010111111000
31101022222221100021121
431132012200113320
5214110144300111
610351114315024
71021265062306
oct153606402770
941288840247
1014463665656
1161523a90a0
122977a28a74
1314966b1a5b
149b2cd1276
15599bc0871
hex35e1a05f8

14463665656 has 64 divisors (see below), whose sum is σ = 30506958720. Its totient is φ = 6372462720.

The previous prime is 14463665651. The next prime is 14463665677. The reversal of 14463665656 is 65656636441.

14463665656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14463665651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368431 + ... + 405793.

It is an arithmetic number, because the mean of its divisors is an integer number (476671230).

Almost surely, 214463665656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14463665656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15253479360).

14463665656 is an abundant number, since it is smaller than the sum of its proper divisors (16043293064).

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

14463665656 is a wasteful number, since it uses less digits than its factorization.

14463665656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37516 (or 37512 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 52.

The spelling of 14463665656 in words is "fourteen billion, four hundred sixty-three million, six hundred sixty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 53 83 88 106 166 212 332 424 583 664 913 1166 1826 2332 3652 4399 4664 7304 8798 17596 35192 37363 48389 74726 96778 149452 193556 298904 387112 410993 821986 1643972 1980239 3101129 3287944 3960478 6202258 7920956 12404516 15841912 21782629 24809032 34112419 43565258 68224838 87130516 136449676 164359837 174261032 272899352 328719674 657439348 1314878696 1807958207 3615916414 7231832828 14463665656