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58497416640 = 26325132313877
BaseRepresentation
bin110110011110101101…
…111011110111000000
312120222210012122212200
4312132231323313000
51424300314313030
642512350353200
74140422560125
oct663655736700
9176883178780
1058497416640
11228992a2a33
12b4067bb800
135693372100
142b8d0ba74c
1517c5897d60
hexd9eb7bdc0

58497416640 has 504 divisors, whose sum is σ = 224960980608. Its totient is φ = 13931274240.

The previous prime is 58497416567. The next prime is 58497416651. The reversal of 58497416640 is 4661479485.

58497416640 is a `hidden beast` number, since 5 + 84 + 97 + 416 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15086382 + ... + 15090258.

It is an arithmetic number, because the mean of its divisors is an integer number (446351152).

Almost surely, 258497416640 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 58497416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112480490304).

58497416640 is an abundant number, since it is smaller than the sum of its proper divisors (166463563968).

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

58497416640 is a wasteful number, since it uses less digits than its factorization.

58497416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3931 counting only the distinct ones).

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

The spelling of 58497416640 in words is "fifty-eight billion, four hundred ninety-seven million, four hundred sixteen thousand, six hundred forty".