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68323545514224 = 2439711213171961
BaseRepresentation
bin11111000100011110100001…
…01010010000000011110000
322221220200000100202000000000
433202033100222100003300
532423403110122423344
6401151223053430000
720251133102436360
oct1742172052200360
9287820010660000
1068323545514224
111a851942284a00
1277b568919b300
132c17b6238cb90
1412c2c3d2489a0
157d73bb340a69
hex3e23d0a900f0

68323545514224 has 4800 divisors, whose sum is σ = 304299153607680. Its totient is φ = 14366763417600.

The previous prime is 68323545514219. The next prime is 68323545514267. The reversal of 68323545514224 is 42241554532386.

68323545514224 is a `hidden beast` number, since 6 + 8 + 3 + 2 + 3 + 545 + 51 + 42 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 959 ways as a sum of consecutive naturals, for example, 1120058123154 + ... + 1120058123214.

Almost surely, 268323545514224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68323545514224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152149576803840).

68323545514224 is an abundant number, since it is smaller than the sum of its proper divisors (235975608093456).

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

68323545514224 is a wasteful number, since it uses less digits than its factorization.

68323545514224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 133 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 54.

The spelling of 68323545514224 in words is "sixty-eight trillion, three hundred twenty-three billion, five hundred forty-five million, five hundred fourteen thousand, two hundred twenty-four".