Search a number
-
+
30381329664 = 2835729967
BaseRepresentation
bin11100010010110111…
…100100110100000000
32220102022211110100000
4130102313210310000
5444210110022124
621542413200000
72123610020100
oct342267446400
986368743300
1030381329664
1111980517714
125a7a790000
132b3239a55a
141682d4d200
15bcc3506c9
hex712de4d00

30381329664 has 324 divisors, whose sum is σ = 105683008704. Its totient is φ = 8679508992.

The previous prime is 30381329659. The next prime is 30381329723. The reversal of 30381329664 is 46692318303.

It is a tau number, because it is divible by the number of its divisors (324).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3043209 + ... + 3053175.

Almost surely, 230381329664 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 30381329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52841504352).

30381329664 is an abundant number, since it is smaller than the sum of its proper divisors (75301679040).

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

30381329664 is an frugal number, since it uses more digits than its factorization.

30381329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 30381329664 in words is "thirty billion, three hundred eighty-one million, three hundred twenty-nine thousand, six hundred sixty-four".