Search a number
-
+
30166430336 = 2773137149197
BaseRepresentation
bin11100000110000011…
…110011001010000000
32212212100110102212122
4130012003303022000
5443240101232321
621505215143412
72115360266330
oct340603631200
985770412778
1030166430336
1111880188669
125a1a814b68
132ac99c76a3
1416625ad0c0
15bb85518ab
hex7060f3280

30166430336 has 256 divisors, whose sum is σ = 73675008000. Its totient is φ = 12030197760.

The previous prime is 30166430323. The next prime is 30166430377. The reversal of 30166430336 is 63303466103.

It is a junction number, because it is equal to n+sod(n) for n = 30166430296 and 30166430305.

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 31 ways as a sum of consecutive naturals, for example, 153128990 + ... + 153129186.

It is an arithmetic number, because the mean of its divisors is an integer number (287793000).

Almost surely, 230166430336 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 30166430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36837504000).

30166430336 is an abundant number, since it is smaller than the sum of its proper divisors (43508577664).

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

30166430336 is a wasteful number, since it uses less digits than its factorization.

30166430336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 35.

Adding to 30166430336 its reverse (63303466103), we get a palindrome (93469896439).

The spelling of 30166430336 in words is "thirty billion, one hundred sixty-six million, four hundred thirty thousand, three hundred thirty-six".