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30189404160 = 21433513649
BaseRepresentation
bin11100000111011011…
…011100000000000000
32212220221200122001000
4130013123130000000
5443311441413120
621511355412000
72116056462366
oct340733340000
985827618030
1030189404160
111189214a1a3
125a26454000
132b016ac576
14166566d636
15bba58d990
hex7076dc000

30189404160 has 240 divisors, whose sum is σ = 107344692000. Its totient is φ = 8049917952.

The previous prime is 30189404159. The next prime is 30189404183. The reversal of 30189404160 is 6140498103.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×301894041602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2205016 + ... + 2218664.

It is an arithmetic number, because the mean of its divisors is an integer number (447269550).

Almost surely, 230189404160 is an apocalyptic number.

30189404160 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 30189404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53672346000).

30189404160 is an abundant number, since it is smaller than the sum of its proper divisors (77155287840).

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

30189404160 is an equidigital number, since it uses as much as digits as its factorization.

30189404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13691 (or 13659 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 30189404160 in words is "thirty billion, one hundred eighty-nine million, four hundred four thousand, one hundred sixty".