Search a number
-
+
11244646336 = 2671111531979
BaseRepresentation
bin10100111100011101…
…11010111111000000
31002000122210012220211
422132032322333000
5141012112140321
65055443443504
7545436626320
oct123616727700
932018705824
1011244646336
114850345250
122219986594
1310a28142b1
14789595280
1545c2b70e1
hex29e3bafc0

11244646336 has 112 divisors (see below), whose sum is σ = 27857744640. Its totient is φ = 4375019520.

The previous prime is 11244646327. The next prime is 11244646351. The reversal of 11244646336 is 63364644211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5680995 + ... + 5682973.

Almost surely, 211244646336 is an apocalyptic number.

11244646336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11244646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928872320).

11244646336 is an abundant number, since it is smaller than the sum of its proper divisors (16613098304).

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

11244646336 is a wasteful number, since it uses less digits than its factorization.

11244646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3152 counting only the distinct ones).

The product of its digits is 248832, while the sum is 40.

The spelling of 11244646336 in words is "eleven billion, two hundred forty-four million, six hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1153 1232 1979 2306 2464 3958 4612 4928 7916 8071 9224 12683 13853 15832 16142 18448 21769 25366 27706 31664 32284 36896 43538 50732 55412 63328 64568 73792 87076 88781 101464 110824 126656 129136 152383 174152 177562 202928 221648 258272 304766 348304 355124 405856 443296 516544 609532 696608 710248 811712 886592 1219064 1393216 1420496 2281787 2438128 2840992 4563574 4876256 5681984 9127148 9752512 15972509 18254296 25099657 31945018 36508592 50199314 63890036 73017184 100398628 127780072 146034368 175697599 200797256 255560144 351395198 401594512 511120288 702790396 803189024 1022240576 1405580792 1606378048 2811161584 5622323168 11244646336