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58984865424 = 24323725472
BaseRepresentation
bin110110111011110001…
…011001111010010000
312122020202102121220100
4312323301121322100
51431300111143144
643033002212400
74155462040452
oct667361317220
9178222377810
1058984865424
1123019467471
12b521ab4100
135740351344
142bd7b262d2
151803582269
hexdbbc59e90

58984865424 has 135 divisors (see below), whose sum is σ = 169968513897. Its totient is φ = 19095253632.

The previous prime is 58984865413. The next prime is 58984865449. The reversal of 58984865424 is 42456848985.

The square root of 58984865424 is 242868.

It is a perfect power (a square), and thus also a powerful number.

58984865424 is a `hidden beast` number, since 5 + 8 + 9 + 8 + 4 + 86 + 542 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52780467600 + 6204397824 = 229740^2 + 78768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107833119 + ... + 107833665.

Almost surely, 258984865424 is an apocalyptic number.

58984865424 is the 242868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58984865424

58984865424 is an abundant number, since it is smaller than the sum of its proper divisors (110983648473).

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

58984865424 is an equidigital number, since it uses as much as digits as its factorization.

58984865424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 589 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 58984865424 in words is "fifty-eight billion, nine hundred eighty-four million, eight hundred sixty-five thousand, four hundred twenty-four".