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6058284300240 = 24351737131306349
BaseRepresentation
bin101100000101000110111…
…1000100011011111010000
3210110011111020201210000220
41120022031320203133100
51243224331240101430
620515045401513040
71163460634614564
oct130121570433720
923404436653026
106058284300240
111a26338603927
1281a1771a2780
1334c3a8504713
1416d3188716a4
15a78cac85110
hex5828de237d0

6058284300240 has 320 divisors, whose sum is σ = 20578838227200. Its totient is φ = 1468117647360.

The previous prime is 6058284300193. The next prime is 6058284300253. The reversal of 6058284300240 is 420034828506.

It is a junction number, because it is equal to n+sod(n) for n = 6058284300192 and 6058284300201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19622586 + ... + 19928934.

It is an arithmetic number, because the mean of its divisors is an integer number (64308869460).

Almost surely, 26058284300240 is an apocalyptic number.

6058284300240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6058284300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289419113600).

6058284300240 is an abundant number, since it is smaller than the sum of its proper divisors (14520553926960).

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

6058284300240 is a wasteful number, since it uses less digits than its factorization.

6058284300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306550 (or 306544 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 6058284300240 in words is "six trillion, fifty-eight billion, two hundred eighty-four million, three hundred thousand, two hundred forty".