Search a number
-
+
56473885440 = 28325719293141
BaseRepresentation
bin110100100110000110…
…110001101100000000
312101202202120121220200
4310212012301230000
51411124303313230
641535503205200
74036322051220
oct644606615400
9171682517820
1056473885440
1121a50043aa5
12ab40ba6800
13543007927b
142a3a458080
151707dd8160
hexd261b1b00

56473885440 has 1728 divisors, whose sum is σ = 257131929600. Its totient is φ = 11147673600.

The previous prime is 56473885417. The next prime is 56473885451. The reversal of 56473885440 is 4458837465.

It is a happy number.

56473885440 is a `hidden beast` number, since 5 + 6 + 473 + 88 + 54 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1377411820 + ... + 1377411860.

It is an arithmetic number, because the mean of its divisors is an integer number (148803200).

Almost surely, 256473885440 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 56473885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128565964800).

56473885440 is an abundant number, since it is smaller than the sum of its proper divisors (200658044160).

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

56473885440 is a wasteful number, since it uses less digits than its factorization.

56473885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 56473885440 in words is "fifty-six billion, four hundred seventy-three million, eight hundred eighty-five thousand, four hundred forty".