Search a number
-
+
5447504240640 = 213335711175371
BaseRepresentation
bin100111101000101100010…
…0011100010000000000000
3201021202221221021221211000
41033101120203202000000
51203222442041200030
615330314321252000
71101366143021430
oct117213043420000
921252857257730
105447504240640
111810301144a70
1273b91a194000
1330690b399127
1414b936a102c0
1596a7e820860
hex4f4588e2000

5447504240640 has 3584 divisors, whose sum is σ = 26416462970880. Its totient is φ = 1030540492800.

The previous prime is 5447504240561. The next prime is 5447504240641. The reversal of 5447504240640 is 460424057445.

It is a happy number.

5447504240640 is a `hidden beast` number, since 5 + 4 + 47 + 504 + 2 + 40 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5447504240641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76725411805 + ... + 76725411875.

Almost surely, 25447504240640 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 5447504240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208231485440).

5447504240640 is an abundant number, since it is smaller than the sum of its proper divisors (20968958730240).

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

5447504240640 is a wasteful number, since it uses less digits than its factorization.

5447504240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 5447504240640 in words is "five trillion, four hundred forty-seven billion, five hundred four million, two hundred forty thousand, six hundred forty".