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68286502800 = 243252163116371
BaseRepresentation
bin111111100110001100…
…010101011110010000
320112021000002202121100
4333212030111132100
52104322321042200
651212000424400
74635126460665
oct774614253620
9215230082540
1068286502800
1126a61a5028a
1211299018100
136593453799
14343b219a6c
151b99e92d00
hexfe6315790

68286502800 has 180 divisors, whose sum is σ = 238429004944. Its totient is φ = 18097862400.

The previous prime is 68286502789. The next prime is 68286502813. The reversal of 68286502800 is 820568286.

68286502800 is a `hidden beast` number, since 68 + 2 + 8 + 6 + 502 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 528615 + ... + 644985.

Almost surely, 268286502800 is an apocalyptic number.

68286502800 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 68286502800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119214502472).

68286502800 is an abundant number, since it is smaller than the sum of its proper divisors (170142502144).

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

68286502800 is a wasteful number, since it uses less digits than its factorization.

68286502800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116558 (or 116544 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 68286502800 in words is "sixty-eight billion, two hundred eighty-six million, five hundred two thousand, eight hundred".