Search a number
-
+
11324480544 = 2532133197571
BaseRepresentation
bin10101000101111110…
…11101110000100000
31002020020000012212100
422202333131300200
5141143031334134
65111414530400
7550426332156
oct124277356040
932206005770
1011324480544
114891412933
122240666a00
1310b6217080
147960173d6
154642d6999
hex2a2fddc20

11324480544 has 144 divisors (see below), whose sum is σ = 35800337664. Its totient is φ = 3372019200.

The previous prime is 11324480543. The next prime is 11324480551. The reversal of 11324480544 is 44508442311.

11324480544 is a `hidden beast` number, since 1 + 1 + 32 + 4 + 4 + 80 + 544 = 666.

11324480544 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 (144).

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 = 11324480499 and 11324480508.

It is not an unprimeable number, because it can be changed into a prime (11324480543) 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 23 ways as a sum of consecutive naturals, for example, 67279 + ... + 164849.

It is an arithmetic number, because the mean of its divisors is an integer number (248613456).

Almost surely, 211324480544 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 11324480544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17900168832).

11324480544 is an abundant number, since it is smaller than the sum of its proper divisors (24475857120).

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

11324480544 is a wasteful number, since it uses less digits than its factorization.

11324480544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97631 (or 97620 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 11324480544 in words is "eleven billion, three hundred twenty-four million, four hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1872 2232 2418 2976 3224 3627 3744 4464 4836 6448 7254 8928 9672 12896 14508 19344 29016 38688 58032 97571 116064 195142 292713 390284 585426 780568 878139 1170852 1268423 1561136 1756278 2341704 2536846 3024701 3122272 3512556 3805269 4683408 5073692 6049402 7025112 7610538 9074103 9366816 10147384 11415807 12098804 14050224 15221076 18148206 20294768 22831614 24197608 27222309 28100448 30442152 36296412 39321113 40589536 45663228 48395216 54444618 60884304 72592824 78642226 91326456 96790432 108889236 117963339 121768608 145185648 157284452 182652912 217778472 235926678 290371296 314568904 353890017 365305824 435556944 471853356 629137808 707780034 871113888 943706712 1258275616 1415560068 1887413424 2831120136 3774826848 5662240272 11324480544