Search a number
-
+
30299692800 = 2835213233521
BaseRepresentation
bin11100001110000000…
…001001111100000000
32220012122012212121110
4130032000021330000
5444023210132200
621530335323320
72121566065536
oct341600117400
986178185543
1030299692800
1111939428733
125a57380540
132b1b4b6110
14167617c156
15bc50c6b50
hex70e009f00

30299692800 has 432 divisors, whose sum is σ = 108357002208. Its totient is φ = 7412121600.

The previous prime is 30299692783. The next prime is 30299692823. The reversal of 30299692800 is 829699203.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30299692800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58156540 + ... + 58157060.

It is an arithmetic number, because the mean of its divisors is an integer number (250826394).

Almost surely, 230299692800 is an apocalyptic number.

30299692800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30299692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54178501104).

30299692800 is an abundant number, since it is smaller than the sum of its proper divisors (78057309408).

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

30299692800 is a wasteful number, since it uses less digits than its factorization.

30299692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 30299692800 in words is "thirty billion, two hundred ninety-nine million, six hundred ninety-two thousand, eight hundred".