Search a number
-
+
5812731445248 = 216367213191
BaseRepresentation
bin101010010010110000111…
…0010110000000000000000
3202120200200020201022000000
41110211201302300000000
51230213433222221443
620210155412000000
71136645622030300
oct124454162600000
922520606638000
105812731445248
1119411903aa532
1279a668000000
133321a48a45a0
141614a292b600
15a13085b88d3
hex54961cb0000

5812731445248 has 1428 divisors, whose sum is σ = 21949816549248. Its totient is φ = 1525001748480.

The previous prime is 5812731445229. The next prime is 5812731445273. The reversal of 5812731445248 is 8425441372185.

5812731445248 is a `hidden beast` number, since 5 + 8 + 1 + 2 + 73 + 1 + 44 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5812731445194 and 5812731445203.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 30433148833 + ... + 30433149023.

Almost surely, 25812731445248 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 5812731445248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10974908274624).

5812731445248 is an abundant number, since it is smaller than the sum of its proper divisors (16137085104000).

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

5812731445248 is an frugal number, since it uses more digits than its factorization.

5812731445248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 216 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 5812731445248 in words is "five trillion, eight hundred twelve billion, seven hundred thirty-one million, four hundred forty-five thousand, two hundred forty-eight".