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68582647687716 = 223323971138532953
BaseRepresentation
bin11111001100000001001000…
…10110100110101000100100
322222211102210122012011211000
433212000210112212220210
532442124230302001331
6401510233340313300
720305634641534161
oct1746004426465044
9288742718164730
1068582647687716
111a941812745888
127837939b42830
132c36415123c36
1412d15bc86b068
157dded32ba0e6
hex3e60245a6a24

68582647687716 has 384 divisors, whose sum is σ = 189395022781440. Its totient is φ = 21417579380736.

The previous prime is 68582647687711. The next prime is 68582647687727. The reversal of 68582647687716 is 61778674628586.

68582647687716 is a `hidden beast` number, since 6 + 8 + 58 + 2 + 6 + 476 + 87 + 7 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (68582647687711) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 23224735296 + ... + 23224738248.

It is an arithmetic number, because the mean of its divisors is an integer number (493216205160).

Almost surely, 268582647687716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68582647687716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94697511390720).

68582647687716 is an abundant number, since it is smaller than the sum of its proper divisors (120812375093724).

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

68582647687716 is a wasteful number, since it uses less digits than its factorization.

68582647687716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4044 counting only the distinct ones).

The product of its digits is 9103933440, while the sum is 81.

The spelling of 68582647687716 in words is "sixty-eight trillion, five hundred eighty-two billion, six hundred forty-seven million, six hundred eighty-seven thousand, seven hundred sixteen".