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58969218672 = 24337132196073
BaseRepresentation
bin110110111010110101…
…101101111001110000
312122012122222200121000
4312322311231321300
51431232104444142
643031243002000
74155212042220
oct667265557160
9178178880530
1058969218672
112301064a871
12b518809300
13573a033500
142bd5a12080
151801ee114c
hexdbad6de70

58969218672 has 480 divisors, whose sum is σ = 220529932800. Its totient is φ = 14731352064.

The previous prime is 58969218647. The next prime is 58969218689. The reversal of 58969218672 is 27681296985.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9707028 + ... + 9713100.

It is an arithmetic number, because the mean of its divisors is an integer number (459437360).

Almost surely, 258969218672 is an apocalyptic number.

58969218672 is a gapful number since it is divisible by the number (52) 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 58969218672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110264966400).

58969218672 is an abundant number, since it is smaller than the sum of its proper divisors (161560714128).

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

58969218672 is a wasteful number, since it uses less digits than its factorization.

58969218672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6117 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 58969218672 in words is "fifty-eight billion, nine hundred sixty-nine million, two hundred eighteen thousand, six hundred seventy-two".