Search a number
-
+
30093467904 = 2832235031129
BaseRepresentation
bin11100000001101101…
…011110000100000000
32212200021011120020100
4130001231132010000
5443112411433104
621454051242400
72113513154013
oct340155360400
985607146210
1030093467904
1111842a83935
1259ba2a9400
132ab785c656
141656a1937a
15bb1e3d139
hex701b5e100

30093467904 has 216 divisors, whose sum is σ = 90799712640. Its totient is φ = 9567461376.

The previous prime is 30093467903. The next prime is 30093467923. The reversal of 30093467904 is 40976439003.

It is a self number, because there is not a number n which added to its sum of digits gives 30093467904.

It is not an unprimeable number, because it can be changed into a prime (30093467903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26654412 + ... + 26655540.

It is an arithmetic number, because the mean of its divisors is an integer number (420369040).

Almost surely, 230093467904 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 30093467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45399856320).

30093467904 is an abundant number, since it is smaller than the sum of its proper divisors (60706244736).

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

30093467904 is a wasteful number, since it uses less digits than its factorization.

30093467904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 30093467904 in words is "thirty billion, ninety-three million, four hundred sixty-seven thousand, nine hundred four".