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68697953280 = 210345112372
BaseRepresentation
bin111111111110101101…
…111001010000000000
320120022200022121120000
4333332231321100000
52111143134001110
651320455320000
74651253653035
oct777655712000
9216280277500
1068697953280
1127153227100
1211392980000
13662a773bc8
143479b2138c
151bc11691c0
hexffeb79400

68697953280 has 990 divisors, whose sum is σ = 278099495982. Its totient is φ = 16203939840.

The previous prime is 68697953273. The next prime is 68697953299. The reversal of 68697953280 is 8235979686.

68697953280 is a `hidden beast` number, since 6 + 8 + 6 + 97 + 9 + 532 + 8 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 33761857536 + 34936095744 = 183744^2 + 186912^2 .

It is a tau number, because it is divible by the number of its divisors (990).

It is a super-3 number, since 3×686979532803 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1856701422 + ... + 1856701458.

Almost surely, 268697953280 is an apocalyptic number.

68697953280 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 68697953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139049747991).

68697953280 is an abundant number, since it is smaller than the sum of its proper divisors (209401542702).

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

68697953280 is a wasteful number, since it uses less digits than its factorization.

68697953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 68697953280 in words is "sixty-eight billion, six hundred ninety-seven million, nine hundred fifty-three thousand, two hundred eighty".