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58989450240 = 2103257434253
BaseRepresentation
bin110110111100000010…
…111001010000000000
312122021002001120002100
4312330002321100000
51431302244401430
643033244350400
74155546024330
oct667402712000
9178232046070
1058989450240
1123021009076
12b523545400
135741298156
142bd859b0c0
151803b8a960
hexdbc0b9400

58989450240 has 528 divisors, whose sum is σ = 239085145728. Its totient is φ = 13166641152.

The previous prime is 58989450209. The next prime is 58989450251. The reversal of 58989450240 is 4205498985.

It is a happy number.

58989450240 is a `hidden beast` number, since 5 + 8 + 9 + 8 + 94 + 502 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13867954 + ... + 13872206.

It is an arithmetic number, because the mean of its divisors is an integer number (452812776).

Almost surely, 258989450240 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 58989450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119542572864).

58989450240 is an abundant number, since it is smaller than the sum of its proper divisors (180095695488).

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

58989450240 is a wasteful number, since it uses less digits than its factorization.

58989450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 58989450240 in words is "fifty-eight billion, nine hundred eighty-nine million, four hundred fifty thousand, two hundred forty".