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318190484304 = 2434711217359
BaseRepresentation
bin1001010000101011010…
…00010111101101010000
31010102022020112101010000
410220111220113231100
520203123230444204
6402101422210000
731663025330310
oct4502550275520
91112266471100
10318190484304
11112a42262400
1251801423900
132400b6641a4
1411586d95440
158424642039
hex4a15a17b50

318190484304 has 1200 divisors, whose sum is σ = 1250001244800. Its totient is φ = 76466903040.

The previous prime is 318190484207. The next prime is 318190484317. The reversal of 318190484304 is 403484091813.

318190484304 is a `hidden beast` number, since 3 + 1 + 81 + 90 + 484 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×3181904843042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 318190484304.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 5393059027 + ... + 5393059085.

It is an arithmetic number, because the mean of its divisors is an integer number (1041667704).

Almost surely, 2318190484304 is an apocalyptic number.

318190484304 is a gapful number since it is divisible by the number (34) 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 318190484304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625000622400).

318190484304 is an abundant number, since it is smaller than the sum of its proper divisors (931810760496).

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

318190484304 is a wasteful number, since it uses less digits than its factorization.

318190484304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 318190484304 in words is "three hundred eighteen billion, one hundred ninety million, four hundred eighty-four thousand, three hundred four".