Search a number
-
+
11784342064 = 24111710338239
BaseRepresentation
bin10101111100110011…
…01100101000110000
31010102021022121021111
422332121230220300
5143113242421224
65225203203104
7565012153255
oct127631545060
933367277244
1011784342064
114aa7a54680
12234a676494
13115a587591
147db12142c
1548e871d94
hex2be66ca30

11784342064 has 80 divisors (see below), whose sum is σ = 26629724160. Its totient is φ = 4992353280.

The previous prime is 11784342043. The next prime is 11784342083. The reversal of 11784342064 is 46024348711.

11784342064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 289057 + ... + 327295.

It is an arithmetic number, because the mean of its divisors is an integer number (332871552).

Almost surely, 211784342064 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 11784342064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13314862080).

11784342064 is an abundant number, since it is smaller than the sum of its proper divisors (14845382096).

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

11784342064 is a wasteful number, since it uses less digits than its factorization.

11784342064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38378 (or 38372 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 11784342064 in words is "eleven billion, seven hundred eighty-four million, three hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 103 136 176 187 206 272 374 412 748 824 1133 1496 1648 1751 2266 2992 3502 4532 7004 9064 14008 18128 19261 28016 38239 38522 76478 77044 152956 154088 305912 308176 420629 611824 650063 841258 1300126 1682516 2600252 3365032 3938617 5200504 6730064 7150693 7877234 10401008 14301386 15754468 28602772 31508936 43324787 57205544 63017872 66956489 86649574 114411088 133912978 173299148 267825956 346598296 535651912 693196592 736521379 1071303824 1473042758 2946085516 5892171032 11784342064