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68287780080 = 243351317143053
BaseRepresentation
bin111111100110010001…
…001101010011110000
320112021002111122201000
4333212101031103300
52104323132430310
651212044042000
74635143360562
oct774621152360
9215232448630
1068287780080
1126a62742993
1211299533300
1365937acc80
14343b46d332
151b9a1464c0
hexfe644d4f0

68287780080 has 320 divisors, whose sum is σ = 268209083520. Its totient is φ = 15820406784.

The previous prime is 68287780069. The next prime is 68287780103. The reversal of 68287780080 is 8008778286.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68287779999 and 68287780026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 405834 + ... + 548886.

It is an arithmetic number, because the mean of its divisors is an integer number (838153386).

Almost surely, 268287780080 is an apocalyptic number.

68287780080 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 68287780080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134104541760).

68287780080 is an abundant number, since it is smaller than the sum of its proper divisors (199921303440).

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

68287780080 is a wasteful number, since it uses less digits than its factorization.

68287780080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143105 (or 143093 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 68287780080 in words is "sixty-eight billion, two hundred eighty-seven million, seven hundred eighty thousand, eighty".