Search a number
-
+
164327380000 = 255472732297
BaseRepresentation
bin1001100100001010101…
…1001101010000100000
3120201011020221211101021
42121002223031100200
510143020302130000
6203254014015224
714605120453300
oct2310253152040
9521136854337
10164327380000
1163766581873
1227a20aa7514
131265a9546c4
147d4c527600
15441b82e11a
hex2642acd420

164327380000 has 360 divisors, whose sum is σ = 476922907692. Its totient is φ = 55544832000.

The previous prime is 164327379967. The next prime is 164327380027. The reversal of 164327380000 is 83723461.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 11255512464 + 153071867536 = 106092^2 + 391244^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 71538852 + ... + 71541148.

Almost surely, 2164327380000 is an apocalyptic number.

164327380000 is a gapful number since it is divisible by the number (10) 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 164327380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238461453846).

164327380000 is an abundant number, since it is smaller than the sum of its proper divisors (312595527692).

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

164327380000 is an equidigital number, since it uses as much as digits as its factorization.

164327380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 164327380000 in words is "one hundred sixty-four billion, three hundred twenty-seven million, three hundred eighty thousand".