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52058549760 = 293576797149
BaseRepresentation
bin110000011110111011…
…100110111000000000
311222101001100100000120
4300132323212320000
51323103442043020
635525415220240
73522026241360
oct603673467000
9158331310016
1052058549760
112009476aa48
12a10a377680
134ba83a6bc9
14273bcaa9a0
15154a470740
hexc1eee6e00

52058549760 has 640 divisors, whose sum is σ = 196337433600. Its totient is φ = 11522801664.

The previous prime is 52058549731. The next prime is 52058549779. The reversal of 52058549760 is 6794585025.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×520585497602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 349386166 + ... + 349386314.

It is an arithmetic number, because the mean of its divisors is an integer number (306777240).

Almost surely, 252058549760 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 52058549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98168716800).

52058549760 is an abundant number, since it is smaller than the sum of its proper divisors (144278883840).

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

52058549760 is a wasteful number, since it uses less digits than its factorization.

52058549760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 52058549760 in words is "fifty-two billion, fifty-eight million, five hundred forty-nine thousand, seven hundred sixty".