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68313333120 = 2735172717723
BaseRepresentation
bin111111100111110010…
…101011110110000000
320112022212120212212220
4333213302223312000
52104401203124440
651214355451040
74635603515334
oct774762536600
9215285525786
1068313333120
1126a761062aa
12112a5bb6a80
136598b88b06
143440a017c4
151b9c4e28d0
hexfe7cabd80

68313333120 has 256 divisors, whose sum is σ = 231438228480. Its totient is φ = 17079828480.

The previous prime is 68313333097. The next prime is 68313333167. The reversal of 68313333120 is 2133331386.

It is a super-2 number, since 2×683133331202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8841579 + ... + 8849301.

It is an arithmetic number, because the mean of its divisors is an integer number (904055580).

Almost surely, 268313333120 is an apocalyptic number.

68313333120 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 68313333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115719114240).

68313333120 is an abundant number, since it is smaller than the sum of its proper divisors (163124895360).

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

68313333120 is a wasteful number, since it uses less digits than its factorization.

68313333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8033 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 68313333120 in words is "sixty-eight billion, three hundred thirteen million, three hundred thirty-three thousand, one hundred twenty".