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68552369174016 = 293271329103229239
BaseRepresentation
bin11111001011001000101111…
…00111001111011000000000
322222201112122110211022110200
433211210113213033120000
532441130223002032031
6401444305034525200
720303513420445060
oct1745442747173000
9288645573738420
1068552369174016
111a92a995273342
127831aa9896800
132c335cb144b40
1412cdd494433a0
157dd30eec88e6
hex3e59179cf600

68552369174016 has 1920 divisors, whose sum is σ = 256525581312000. Its totient is φ = 17139325206528.

The previous prime is 68552369173991. The next prime is 68552369174039. The reversal of 68552369174016 is 61047196325586.

It is a happy number.

68552369174016 is a `hidden beast` number, since 6 + 8 + 5 + 523 + 6 + 91 + 7 + 4 + 0 + 16 = 666.

68552369174016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 286829996425 + ... + 286829996663.

It is an arithmetic number, because the mean of its divisors is an integer number (133607073600).

It is a 1-persistent number, because it is pandigital, but 2⋅68552369174016 = 137104738348032 is not.

Almost surely, 268552369174016 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 68552369174016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128262790656000).

68552369174016 is an abundant number, since it is smaller than the sum of its proper divisors (187973212137984).

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

68552369174016 is a wasteful number, since it uses less digits than its factorization.

68552369174016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 68552369174016 in words is "sixty-eight trillion, five hundred fifty-two billion, three hundred sixty-nine million, one hundred seventy-four thousand, sixteen".