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68264068216320 = 2932512728018329
BaseRepresentation
bin11111000010101111101111…
…00010010111011000000000
322221200222111021201012201200
433201113313202113120000
532421414302430410240
6401104025140501200
720243626150650444
oct1741276742273000
9287628437635650
1068264068216320
111a8296a095a749
1277a604a3aa800
132c12374006092
1412bddd9d7a824
157d5a8993c930
hex3e15f7897600

68264068216320 has 480 divisors, whose sum is σ = 238392911877120. Its totient is φ = 18051799449600.

The previous prime is 68264068216273. The next prime is 68264068216363. The reversal of 68264068216320 is 2361286046286.

It is a happy number.

68264068216320 is a `hidden beast` number, since 6 + 8 + 2 + 6 + 40 + 68 + 216 + 320 = 666.

68264068216320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8195945916 + ... + 8195954244.

It is an arithmetic number, because the mean of its divisors is an integer number (496651899744).

Almost surely, 268264068216320 is an apocalyptic number.

68264068216320 is a gapful number since it is divisible by the number (60) 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 68264068216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119196455938560).

68264068216320 is an abundant number, since it is smaller than the sum of its proper divisors (170128843660800).

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

68264068216320 is a wasteful number, since it uses less digits than its factorization.

68264068216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 68264068216320 in words is "sixty-eight trillion, two hundred sixty-four billion, sixty-eight million, two hundred sixteen thousand, three hundred twenty".