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58957081344 = 2832710335491
BaseRepresentation
bin110110111010000111…
…011010101100000000
312122011211011001022100
4312322013122230000
51431221003100334
643030130510400
74155003631350
oct667207325400
9178154131270
1058957081344
112300480a917
12b514735400
135737673b65
142bd4172b60
151800de4c99
hexdba1dab00

58957081344 has 216 divisors, whose sum is σ = 196163432192. Its totient is φ = 16680867840.

The previous prime is 58957081343. The next prime is 58957081357. The reversal of 58957081344 is 44318075985.

58957081344 is a `hidden beast` number, since 58 + 9 + 570 + 8 + 13 + 4 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (58957081343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1643439 + ... + 1678929.

Almost surely, 258957081344 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 58957081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98081716096).

58957081344 is an abundant number, since it is smaller than the sum of its proper divisors (137206350848).

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

58957081344 is a wasteful number, since it uses less digits than its factorization.

58957081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35623 (or 35606 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 58957081344 in words is "fifty-eight billion, nine hundred fifty-seven million, eighty-one thousand, three hundred forty-four".