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558000000000 = 210325931
BaseRepresentation
bin10000001111010110110…
…01000100110000000000
31222100021222102222202200
420013223121010300000
533120241000000000
61104201444313200
755212521512302
oct10075331046000
91870258388680
10558000000000
111a57124a89a3
12901890a2800
13408084308c1
141d01621b972
15e7ac9c3500
hex81eb644c00

558000000000 has 660 divisors, whose sum is σ = 2078984162112. Its totient is φ = 144000000000.

The previous prime is 557999999933. The next prime is 558000000043. The reversal of 558000000000 is 855.

It is a super-3 number, since 3×5580000000003 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 558000000000.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17999999985 + ... + 18000000015.

Almost surely, 2558000000000 is an apocalyptic number.

558000000000 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 558000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039492081056).

558000000000 is an abundant number, since it is smaller than the sum of its proper divisors (1520984162112).

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

558000000000 is an frugal number, since it uses more digits than its factorization.

558000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 558000000000 its reverse (855), we get a palindrome (558000000855).

The spelling of 558000000000 in words is "five hundred fifty-eight billion", and thus it is an aban number.