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58093235712 = 2932149211401
BaseRepresentation
bin110110000110101000…
…000110111000000000
312112221121200010212200
4312012220012320000
51422433332020322
642404311353200
74124414233101
oct660650067000
9175847603780
1058093235712
1122701131906
12b313382800
13562a6c87b5
142b515483a8
1517a015a8ac
hexd86a06e00

58093235712 has 240 divisors, whose sum is σ = 170009096400. Its totient is φ = 19095552000.

The previous prime is 58093235693. The next prime is 58093235713. The reversal of 58093235712 is 21753239085.

58093235712 is a `hidden beast` number, since 58 + 0 + 9 + 3 + 23 + 571 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58093235713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144870712 + ... + 144871112.

It is an arithmetic number, because the mean of its divisors is an integer number (708371235).

Almost surely, 258093235712 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 58093235712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85004548200).

58093235712 is an abundant number, since it is smaller than the sum of its proper divisors (111915860688).

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

58093235712 is a wasteful number, since it uses less digits than its factorization.

58093235712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 58093235712 in words is "fifty-eight billion, ninety-three million, two hundred thirty-five thousand, seven hundred twelve".