Search a number
-
+
11365243272 = 233373720779
BaseRepresentation
bin10101001010110101…
…11101100110001000
31002100001201011211000
422211122331212020
5141234000241042
65115432335000
7551432655015
oct124532754610
932301634730
1011365243272
114902424539
122252244460
1310c17b9b26
1479b5c870c
15467b8974c
hex2a56bd988

11365243272 has 64 divisors (see below), whose sum is σ = 32002632000. Its totient is φ = 3736513152.

The previous prime is 11365243271. The next prime is 11365243273. The reversal of 11365243272 is 27234256311.

11365243272 is a `hidden beast` number, since 1 + 1 + 36 + 524 + 32 + 72 = 666.

11365243272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11365243271) and next prime (11365243273).

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

It is not an unprimeable number, because it can be changed into a prime (11365243271) 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, 344622 + ... + 376157.

It is an arithmetic number, because the mean of its divisors is an integer number (500041125).

Almost surely, 211365243272 is an apocalyptic number.

11365243272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11365243272 is an abundant number, since it is smaller than the sum of its proper divisors (20637388728).

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

11365243272 is a wasteful number, since it uses less digits than its factorization.

11365243272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720867 (or 720857 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

Adding to 11365243272 its reverse (27234256311), we get a palindrome (38599499583).

The spelling of 11365243272 in words is "eleven billion, three hundred sixty-five million, two hundred forty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3942 5256 7884 15768 720779 1441558 2162337 2883116 4324674 5766232 6487011 8649348 12974022 17298696 19461033 25948044 38922066 51896088 52616867 77844132 105233734 155688264 157850601 210467468 315701202 420934936 473551803 631402404 947103606 1262804808 1420655409 1894207212 2841310818 3788414424 5682621636 11365243272