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542558834000 = 2453271279417
BaseRepresentation
bin1111110010100110000…
…01101100110101010000
31220212102212011111002122
413321103001230311100
532342130030142000
61053125330433412
754125053665521
oct7712301546520
91825385144078
10542558834000
1119a109354387
1289199a32868
133c21738baa1
141c38d598848
15e1a70b8085
hex7e5306cd50

542558834000 has 40 divisors (see below), whose sum is σ = 1311907265448. Its totient is φ = 217023532800.

The previous prime is 542558833979. The next prime is 542558834009. The reversal of 542558834000 is 438855245.

It can be written as a sum of positive squares in 4 ways, for example, as 12679660816 + 529879173184 = 112604^2 + 727928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542558834009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135637709 + ... + 135641708.

Almost surely, 2542558834000 is an apocalyptic number.

542558834000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542558834000 is an abundant number, since it is smaller than the sum of its proper divisors (769348431448).

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

542558834000 is a wasteful number, since it uses less digits than its factorization.

542558834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271279440 (or 271279424 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 44.

The spelling of 542558834000 in words is "five hundred forty-two billion, five hundred fifty-eight million, eight hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 271279417 542558834 1085117668 1356397085 2170235336 2712794170 4340470672 5425588340 6781985425 10851176680 13563970850 21702353360 27127941700 33909927125 54255883400 67819854250 108511766800 135639708500 271279417000 542558834000