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68582057670 = 235573107769
BaseRepresentation
bin111111110111110011…
…110010011011000110
320120000121020111200000
4333313303302123012
52110424001321140
651301155302130
74645345605000
oct776763623306
9216017214600
1068582057670
11270a3869005
121135bbaa946
13660c756219
143468593370
151bb5dc4a30
hexff7cf26c6

68582057670 has 384 divisors, whose sum is σ = 217945728000. Its totient is φ = 15509200896.

The previous prime is 68582057629. The next prime is 68582057707. The reversal of 68582057670 is 7675028586.

68582057670 is a `hidden beast` number, since 6 + 8 + 582 + 0 + 57 + 6 + 7 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89183046 + ... + 89183814.

It is an arithmetic number, because the mean of its divisors is an integer number (567567000).

Almost surely, 268582057670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68582057670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864000).

68582057670 is an abundant number, since it is smaller than the sum of its proper divisors (149363670330).

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

68582057670 is a wasteful number, since it uses less digits than its factorization.

68582057670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 68582057670 in words is "sixty-eight billion, five hundred eighty-two million, fifty-seven thousand, six hundred seventy".