Search a number
-
+
11326534640 = 245294882127
BaseRepresentation
bin10101000110001110…
…10011001111110000
31002020100212120112222
422203013103033300
5141144043102030
65111530540212
7550452645611
oct124307231760
932210776488
1011326534640
114892596133
122241297668
1310b6786005
147963cdc08
154645903e5
hex2a31d33f0

11326534640 has 40 divisors (see below), whose sum is σ = 27242274240. Its totient is φ = 4374384896.

The previous prime is 11326534633. The next prime is 11326534651. The reversal of 11326534640 is 4643562311.

11326534640 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 (40).

It is a super-2 number, since 2×113265346402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11326534640.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2438744 + ... + 2443383.

It is an arithmetic number, because the mean of its divisors is an integer number (681056856).

Almost surely, 211326534640 is an apocalyptic number.

11326534640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11326534640 is an abundant number, since it is smaller than the sum of its proper divisors (15915739600).

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

11326534640 is a wasteful number, since it uses less digits than its factorization.

11326534640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882169 (or 4882163 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 11326534640 in words is "eleven billion, three hundred twenty-six million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 4882127 9764254 19528508 24410635 39057016 48821270 78114032 97642540 141581683 195285080 283163366 390570160 566326732 707908415 1132653464 1415816830 2265306928 2831633660 5663267320 11326534640