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68905461120 = 2735375318301
BaseRepresentation
bin100000000101100010…
…1011110010110000000
320120212010210002210120
41000023011132112000
52112104244223440
651353231100240
74656353520126
oct1001305362600
9216763702716
1068905461120
112724a377891
1211430371680
136661759602
1434994d9916
151bd44a7dd0
hex100b15e580

68905461120 has 256 divisors, whose sum is σ = 229840908480. Its totient is φ = 17539891200.

The previous prime is 68905461071. The next prime is 68905461139. The reversal of 68905461120 is 2116450986.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3755970 + ... + 3774270.

Almost surely, 268905461120 is an apocalyptic number.

68905461120 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 68905461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114920454240).

68905461120 is an abundant number, since it is smaller than the sum of its proper divisors (160935447360).

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

68905461120 is a wasteful number, since it uses less digits than its factorization.

68905461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18413 (or 18401 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 68905461120 in words is "sixty-eight billion, nine hundred five million, four hundred sixty-one thousand, one hundred twenty".