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68076276576 = 25371122389409
BaseRepresentation
bin111111011001101010…
…011000101101100000
320111201100112011102220
4333121222120231200
52103410011322301
651135050511040
74626664542360
oct773152305540
9214640464386
1068076276576
1126964313200
121123a735480
13655ba28979
14341b3349a0
151b867b8936
hexfd9a98b60

68076276576 has 576 divisors, whose sum is σ = 237454156800. Its totient is φ = 16682434560.

The previous prime is 68076276571. The next prime is 68076276607. The reversal of 68076276576 is 67567267086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68076276571) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 166445460 + ... + 166445868.

It is an arithmetic number, because the mean of its divisors is an integer number (412246800).

Almost surely, 268076276576 is an apocalyptic number.

68076276576 is a gapful number since it is divisible by the number (66) 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 68076276576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118727078400).

68076276576 is an abundant number, since it is smaller than the sum of its proper divisors (169377880224).

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

68076276576 is a wasteful number, since it uses less digits than its factorization.

68076276576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 68076276576 in words is "sixty-eight billion, seventy-six million, two hundred seventy-six thousand, five hundred seventy-six".