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58068743616 = 263313171953151
BaseRepresentation
bin110110000101001010…
…101011010111000000
312112212220120211001000
4312011022223113000
51422411044243431
642402034412000
74123666114422
oct660512532700
9175786524030
1058068743616
1122699323604
12b307131000
135625601830
142b4c1b0812
15179ce1d9e6
hexd852ab5c0

58068743616 has 896 divisors, whose sum is σ = 210151065600. Its totient is φ = 15527116800.

The previous prime is 58068743581. The next prime is 58068743617. The reversal of 58068743616 is 61634786085.

58068743616 is a `hidden beast` number, since 580 + 6 + 8 + 7 + 43 + 6 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58068743617) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 384561141 + ... + 384561291.

It is an arithmetic number, because the mean of its divisors is an integer number (234543600).

Almost surely, 258068743616 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 58068743616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105075532800).

58068743616 is an abundant number, since it is smaller than the sum of its proper divisors (152082321984).

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

58068743616 is a wasteful number, since it uses less digits than its factorization.

58068743616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 58068743616 in words is "fifty-eight billion, sixty-eight million, seven hundred forty-three thousand, six hundred sixteen".