Search a number
-
+
30593147904 = 210351111177
BaseRepresentation
bin11100011111011111…
…100110010000000000
32220222002101221100000
4130133133212100000
51000123321213104
622015421200000
72132061316014
oct343737462000
986862357300
1030593147904
1111a7a041910
125b19700000
132b67231ba7
1416a312a544
15be0c41639
hex71f7e6400

30593147904 has 264 divisors, whose sum is σ = 99945806688. Its totient is φ = 9269821440.

The previous prime is 30593147903. The next prime is 30593147947. The reversal of 30593147904 is 40974139503.

It is a tau number, because it is divible by the number of its divisors (264).

It is a self number, because there is not a number n which added to its sum of digits gives 30593147904.

It is not an unprimeable number, because it can be changed into a prime (30593147903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2731564 + ... + 2742740.

Almost surely, 230593147904 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 30593147904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49972903344).

30593147904 is an abundant number, since it is smaller than the sum of its proper divisors (69352658784).

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

30593147904 is a wasteful number, since it uses less digits than its factorization.

30593147904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223 (or 11193 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 30593147904 in words is "thirty billion, five hundred ninety-three million, one hundred forty-seven thousand, nine hundred four".