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558052481142 = 23213192322923831
BaseRepresentation
bin10000001111011101000…
…01010001100001110110
31222100102122012022100200
420013232201101201312
533120342413344032
61104211001221330
755214026552452
oct10075641214166
91870378168320
10558052481142
111a573a093842
12901a2791846
1340816277430
141d01d19d662
15e7b23dd47c
hex81ee851876

558052481142 has 192 divisors, whose sum is σ = 1436554828800. Its totient is φ = 154912538880.

The previous prime is 558052481033. The next prime is 558052481159. The reversal of 558052481142 is 241184250855.

558052481142 is a `hidden beast` number, since 5 + 5 + 8 + 0 + 524 + 8 + 114 + 2 = 666.

It is a super-2 number, since 2×5580524811422 (a number of 24 digits) contains 22 as substring.

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, 23405167 + ... + 23428997.

It is an arithmetic number, because the mean of its divisors is an integer number (7482056400).

Almost surely, 2558052481142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 558052481142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718277414400).

558052481142 is an abundant number, since it is smaller than the sum of its proper divisors (878502347658).

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

558052481142 is a wasteful number, since it uses less digits than its factorization.

558052481142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24123 (or 24120 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 558052481142 in words is "five hundred fifty-eight billion, fifty-two million, four hundred eighty-one thousand, one hundred forty-two".