Search a number
-
+
11544518328 = 233768717371
BaseRepresentation
bin10101100000001101…
…10101111010111000
31002210120001021221220
422300012311322320
5142120344041303
65145315032040
7556040533560
oct126006657270
932716037856
1011544518328
114994641542
1222a229b620
13111c998a45
147b7333da0
1547879d053
hex2b01b5eb8

11544518328 has 32 divisors (see below), whose sum is σ = 32984338560. Its totient is φ = 3298433760.

The previous prime is 11544518311. The next prime is 11544518383. The reversal of 11544518328 is 82381544511.

It is a happy number.

11544518328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11544518328.

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, 34358518 + ... + 34358853.

It is an arithmetic number, because the mean of its divisors is an integer number (1030760580).

Almost surely, 211544518328 is an apocalyptic number.

It is an amenable number.

11544518328 is an abundant number, since it is smaller than the sum of its proper divisors (21439820232).

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

11544518328 is a wasteful number, since it uses less digits than its factorization.

11544518328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68717387 (or 68717383 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The spelling of 11544518328 in words is "eleven billion, five hundred forty-four million, five hundred eighteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 68717371 137434742 206152113 274869484 412304226 481021597 549738968 824608452 962043194 1443064791 1649216904 1924086388 2886129582 3848172776 5772259164 11544518328