Search a number
-
+
12472340544 = 2632195092239
BaseRepresentation
bin10111001110110100…
…01101000001000000
31012012012220112202200
423213122031001000
5201020404344134
65421341313200
7621035100606
oct134732150100
935165815680
1012472340544
115320347064
122500b65800
131239c84081
14864653876
154cee73499
hex2e768d040

12472340544 has 168 divisors, whose sum is σ = 37722048000. Its totient is φ = 3929140224.

The previous prime is 12472340519. The next prime is 12472340549. The reversal of 12472340544 is 44504327421.

12472340544 is a `hidden beast` number, since 1 + 2 + 4 + 72 + 3 + 40 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12472340499 and 12472340508.

It is not an unprimeable number, because it can be changed into a prime (12472340549) 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, 5569377 + ... + 5571615.

It is an arithmetic number, because the mean of its divisors is an integer number (224536000).

Almost surely, 212472340544 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 12472340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18861024000).

12472340544 is an abundant number, since it is smaller than the sum of its proper divisors (25249707456).

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

12472340544 is a wasteful number, since it uses less digits than its factorization.

12472340544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 12472340544 its reverse (44504327421), we get a palindrome (56976667965).

The spelling of 12472340544 in words is "twelve billion, four hundred seventy-two million, three hundred forty thousand, five hundred forty-four".