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542423420000 = 25547111720719
BaseRepresentation
bin1111110010010101111…
…01001000110001100000
31220212002102100202000022
413321022331020301200
532341340343420000
61053104052213012
754121520665520
oct7711275106140
91825072322008
10542423420000
1119a049974890
128916060a168
133c1c52c8c67
141c3795c9680
15e19a26a585
hex7e4af48c60

542423420000 has 480 divisors, whose sum is σ = 1761672084480. Its totient is φ = 159114240000.

The previous prime is 542423419997. The next prime is 542423420029. The reversal of 542423420000 is 24324245.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 26169641 + ... + 26190359.

It is an arithmetic number, because the mean of its divisors is an integer number (3670150176).

Almost surely, 2542423420000 is an apocalyptic number.

542423420000 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 542423420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880836042240).

542423420000 is an abundant number, since it is smaller than the sum of its proper divisors (1219248664480).

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

542423420000 is a wasteful number, since it uses less digits than its factorization.

542423420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20784 (or 20761 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 542423420000 its reverse (24324245), we get a palindrome (542447744245).

The spelling of 542423420000 in words is "five hundred forty-two billion, four hundred twenty-three million, four hundred twenty thousand".