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68843155680 = 253251329211601
BaseRepresentation
bin100000000011101011…
…1110011000011100000
320120200210112122210200
41000013113303003200
52111442321440210
651343123425200
74654666111455
oct1000727630340
9216623478720
1068843155680
1127218191892
1211413525200
1366518831a0
14349111b82c
151bcdc9c0c0
hex10075f30e0

68843155680 has 576 divisors, whose sum is σ = 263400621120. Its totient is φ = 16257024000.

The previous prime is 68843155669. The next prime is 68843155697. The reversal of 68843155680 is 8655134886.

68843155680 is a `hidden beast` number, since 6 + 8 + 8 + 4 + 3 + 1 + 556 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114547380 + ... + 114547980.

It is an arithmetic number, because the mean of its divisors is an integer number (457292745).

Almost surely, 268843155680 is an apocalyptic number.

68843155680 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 68843155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131700310560).

68843155680 is an abundant number, since it is smaller than the sum of its proper divisors (194557465440).

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

68843155680 is a wasteful number, since it uses less digits than its factorization.

68843155680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 68843155680 in words is "sixty-eight billion, eight hundred forty-three million, one hundred fifty-five thousand, six hundred eighty".