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318001816836 = 22361182911959
BaseRepresentation
bin1001010000010100110…
…00101010010100000100
31010101211002112002000000
410220022120222110010
520202231431114321
6402031002321300
731655244562344
oct4501230522404
91111732462000
10318001816836
1111295580a780
125176a1b9230
1323cab547132
1411569cc2d24
158412cc5826
hex4a0a62a504

318001816836 has 168 divisors, whose sum is σ = 911399361600. Its totient is φ = 96239897280.

The previous prime is 318001816829. The next prime is 318001816837. The reversal of 318001816836 is 638618100813.

It is a super-3 number, since 3×3180018168363 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 318001816791 and 318001816800.

It is not an unprimeable number, because it can be changed into a prime (318001816837) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 26585025 + ... + 26596983.

It is an arithmetic number, because the mean of its divisors is an integer number (5424996200).

Almost surely, 2318001816836 is an apocalyptic number.

318001816836 is a gapful number since it is divisible by the number (36) 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 318001816836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455699680800).

318001816836 is an abundant number, since it is smaller than the sum of its proper divisors (593397544764).

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

318001816836 is a wasteful number, since it uses less digits than its factorization.

318001816836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821 (or 12804 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 318001816836 in words is "three hundred eighteen billion, one million, eight hundred sixteen thousand, eight hundred thirty-six".