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326131065216 = 27321133776369
BaseRepresentation
bin1001011111011101110…
…11010010000110000000
31011011210122010200100100
410233232323102012000
520320404023041331
6405453400322400
732363555213055
oct4575673220600
91134718120310
10326131065216
11116347536370
1253258773400
13249a57a1888
1411adb7d302c
15873b801ae6
hex4beeed2180

326131065216 has 192 divisors, whose sum is σ = 1026843526800. Its totient is φ = 98533048320.

The previous prime is 326131065209. The next prime is 326131065241. The reversal of 326131065216 is 612560131623.

326131065216 is a `hidden beast` number, since 3 + 2 + 613 + 10 + 6 + 5 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×3261310652163 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4232280 + ... + 4308648.

Almost surely, 2326131065216 is an apocalyptic number.

326131065216 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 326131065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513421763400).

326131065216 is an abundant number, since it is smaller than the sum of its proper divisors (700712461584).

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

326131065216 is a wasteful number, since it uses less digits than its factorization.

326131065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76737 (or 76722 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 326131065216 its reverse (612560131623), we get a palindrome (938691196839).

The spelling of 326131065216 in words is "three hundred twenty-six billion, one hundred thirty-one million, sixty-five thousand, two hundred sixteen".