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58418890000 = 245424172
BaseRepresentation
bin110110011010000010…
…011000010100010000
312120210022110002120121
4312122002120110100
51424120213440000
642500503320024
74135450241362
oct663202302420
9176708402517
1058418890000
1122858a38789
12b3a4450014
135680009543
142b828b8d32
1517bda35b1a
hexd9a098510

58418890000 has 75 divisors (see below), whose sum is σ = 141496516777. Its totient is φ = 23357888000.

The previous prime is 58418889979. The next prime is 58418890001. The reversal of 58418890000 is 9881485.

The square root of 58418890000 is 241700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10901865744 + 47517024256 = 104412^2 + 217984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58418890001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24168792 + ... + 24171208.

Almost surely, 258418890000 is an apocalyptic number.

58418890000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58418890000 is the 241700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58418890000

58418890000 is an abundant number, since it is smaller than the sum of its proper divisors (83077626777).

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

58418890000 is an frugal number, since it uses more digits than its factorization.

58418890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The spelling of 58418890000 in words is "fifty-eight billion, four hundred eighteen million, eight hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2417 2500 4834 5000 9668 10000 12085 19336 24170 38672 48340 60425 96680 120850 193360 241700 302125 483400 604250 966800 1208500 1510625 2417000 3021250 4834000 5841889 6042500 11683778 12085000 23367556 24170000 29209445 46735112 58418890 93470224 116837780 146047225 233675560 292094450 467351120 584188900 730236125 1168377800 1460472250 2336755600 2920944500 3651180625 5841889000 7302361250 11683778000 14604722500 29209445000 58418890000