Search a number
-
+
12391244352 = 2633293741163
BaseRepresentation
bin10111000101001001…
…10110001001000000
31011222120022102201000
423202210312021000
5200334124304402
65405323212000
7616031560554
oct134244661100
934876272630
1012391244352
115289597313
122499977000
13122622ba66
14857983864
154c7ca4c1c
hex2e2936240

12391244352 has 448 divisors, whose sum is σ = 39889785600. Its totient is φ = 3762339840.

The previous prime is 12391244309. The next prime is 12391244353. The reversal of 12391244352 is 25344219321.

12391244352 is a `hidden beast` number, since 123 + 91 + 2 + 443 + 5 + 2 = 666.

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 (12391244353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76019823 + ... + 76019985.

It is an arithmetic number, because the mean of its divisors is an integer number (89039700).

Almost surely, 212391244352 is an apocalyptic number.

12391244352 is a gapful number since it is divisible by the number (12) 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 12391244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19944892800).

12391244352 is an abundant number, since it is smaller than the sum of its proper divisors (27498541248).

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

12391244352 is a wasteful number, since it uses less digits than its factorization.

12391244352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 12391244352 in words is "twelve billion, three hundred ninety-one million, two hundred forty-four thousand, three hundred fifty-two".