Search a number
-
+
12073949184 = 2113112109149
BaseRepresentation
bin10110011111010100…
…11101100000000000
31011011110021011120010
423033222131200000
5144211412333214
65314030344520
7605126606013
oct131752354000
934143234503
1012073949184
11513647a800
12240b65b140
1311a5586a3b
1482778b37a
154a9ecb659
hex2cfa9d800

12073949184 has 288 divisors, whose sum is σ = 35945910000. Its totient is φ = 3600875520.

The previous prime is 12073949177. The next prime is 12073949189. The reversal of 12073949184 is 48194937021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073949189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81033142 + ... + 81033290.

Almost surely, 212073949184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12073949184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17972955000).

12073949184 is an abundant number, since it is smaller than the sum of its proper divisors (23871960816).

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

12073949184 is a wasteful number, since it uses less digits than its factorization.

12073949184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 12073949184 in words is "twelve billion, seventy-three million, nine hundred forty-nine thousand, one hundred eighty-four".