Search a number
-
+
5681412000 = 2532531114347
BaseRepresentation
bin1010100101010001…
…10111011110100000
3112122221120122002200
411102220313132200
543113420141000
62335432213200
7260535130245
oct52250673640
915587518080
105681412000
112456010a20
12112683a200
136c7090464
143bc79b5cc
15233ba6500
hex152a377a0

5681412000 has 288 divisors, whose sum is σ = 21997894464. Its totient is φ = 1377216000.

The previous prime is 5681411993. The next prime is 5681412013. The reversal of 5681412000 is 2141865.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388827 + ... + 403173.

It is an arithmetic number, because the mean of its divisors is an integer number (76381578).

Almost surely, 25681412000 is an apocalyptic number.

5681412000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5681412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998947232).

5681412000 is an abundant number, since it is smaller than the sum of its proper divisors (16316482464).

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

5681412000 is a wasteful number, since it uses less digits than its factorization.

5681412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14389 (or 14368 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5681412000 is about 75375.1417909114. The cubic root of 5681412000 is about 1784.3721163345.

Adding to 5681412000 its reverse (2141865), we get a palindrome (5683553865).

The spelling of 5681412000 in words is "five billion, six hundred eighty-one million, four hundred twelve thousand".