Search a number
-
+
30988334784 = 26311472631187
BaseRepresentation
bin11100110111000011…
…000111011011000000
32221222122000111211010
4130313003013123000
51001431003203114
622122535320520
72144630333241
oct346703073300
987878014733
1030988334784
111216211a640
126009b20140
132bcb079794
1416dd7dacc8
15c157a3c59
hex7370c76c0

30988334784 has 224 divisors, whose sum is σ = 91771232256. Its totient is φ = 9147950080.

The previous prime is 30988334779. The next prime is 30988334813. The reversal of 30988334784 is 48743388903.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26105839 + ... + 26107025.

Almost surely, 230988334784 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 30988334784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45885616128).

30988334784 is an abundant number, since it is smaller than the sum of its proper divisors (60782897472).

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

30988334784 is a wasteful number, since it uses less digits than its factorization.

30988334784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 30988334784 in words is "thirty billion, nine hundred eighty-eight million, three hundred thirty-four thousand, seven hundred eighty-four".