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58217940000 = 253754113
BaseRepresentation
bin110110001110000011…
…110100010000100000
312120021022022210000000
4312032003310100200
51423212243040000
642424524300000
74130460216333
oct661603642040
9176238283000
1058217940000
1122765567000
12b3490a1600
13564a4aba0c
142b63d2a61a
1517ab090000
hexd8e0f4420

58217940000 has 960 divisors, whose sum is σ = 236268869760. Its totient is φ = 14113440000.

The previous prime is 58217939993. The next prime is 58217940023. The reversal of 58217940000 is 4971285.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

58217940000 is a `hidden beast` number, since 5 + 82 + 179 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4950 × 2970 × 3960.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5292539995 + ... + 5292540005.

It is an arithmetic number, because the mean of its divisors is an integer number (246113406).

Almost surely, 258217940000 is an apocalyptic number.

58217940000 is a gapful number since it is divisible by the number (50) 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 58217940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118134434880).

58217940000 is an abundant number, since it is smaller than the sum of its proper divisors (178050929760).

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

58217940000 is an frugal number, since it uses more digits than its factorization.

58217940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 58217940000 in words is "fifty-eight billion, two hundred seventeen million, nine hundred forty thousand".