Search a number
-
+
12053552544 = 2533111268261
BaseRepresentation
bin10110011100111001…
…01001110110100000
31011010000212220122000
423032130221312200
5144141202140134
65312021244000
7604461335415
oct131634516640
934100786560
1012053552544
115125a09480
122404863600
1311a1294c17
14824b9c10c
154a82ece99
hex2ce729da0

12053552544 has 96 divisors (see below), whose sum is σ = 38352242880. Its totient is φ = 3652588800.

The previous prime is 12053552543. The next prime is 12053552561. The reversal of 12053552544 is 44525535021.

12053552544 is a `hidden beast` number, since 1 + 2 + 0 + 53 + 552 + 54 + 4 = 666.

12053552544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 12053552499 and 12053552508.

It is not an unprimeable number, because it can be changed into a prime (12053552543) 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, 624627 + ... + 643634.

It is an arithmetic number, because the mean of its divisors is an integer number (399502530).

Almost surely, 212053552544 is an apocalyptic number.

It is an amenable number.

12053552544 is an abundant number, since it is smaller than the sum of its proper divisors (26298690336).

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

12053552544 is a wasteful number, since it uses less digits than its factorization.

12053552544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268291 (or 1268277 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 12053552544 in words is "twelve billion, fifty-three million, five hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 1268261 2536522 3804783 5073044 7609566 10146088 11414349 13950871 15219132 20292176 22828698 27901742 30438264 34243047 40584352 41852613 45657396 55803484 60876528 68486094 83705226 91314792 111606968 121753056 125557839 136972188 167410452 182629584 223213936 251115678 273944376 334820904 365259168 376673517 446427872 502231356 547888752 669641808 753347034 1004462712 1095777504 1339283616 1506694068 2008925424 3013388136 4017850848 6026776272 12053552544