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68092079328 = 25337213231307
BaseRepresentation
bin111111011010100110…
…101010110011100000
320111202110021000202000
4333122212222303200
52103423033014303
651140413324000
74630246060500
oct773246526340
9214673230660
1068092079328
1126972227029
1211243a96600
13656209c800
14341d489a00
151b87d8ada3
hexfda9aace0

68092079328 has 864 divisors, whose sum is σ = 259075998720. Its totient is φ = 17322439680.

The previous prime is 68092079317. The next prime is 68092079351. The reversal of 68092079328 is 82397029086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 221798151 + ... + 221798457.

It is an arithmetic number, because the mean of its divisors is an integer number (299856480).

Almost surely, 268092079328 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 68092079328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129537999360).

68092079328 is an abundant number, since it is smaller than the sum of its proper divisors (190983919392).

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

68092079328 is a wasteful number, since it uses less digits than its factorization.

68092079328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 68092079328 in words is "sixty-eight billion, ninety-two million, seventy-nine thousand, three hundred twenty-eight".