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542803548540 = 223511341165779
BaseRepresentation
bin1111110011000011001…
…11001101100101111100
31220220001220122021100010
413321201213031211330
532343130202023130
61053205511503220
754134115015141
oct7714147154574
91826056567303
10542803548540
1119a2244a8000
1289247987b10
133c255ca07a6
141c3b3c9a3c8
15e1bd8060b0
hex7e619cd97c

542803548540 has 192 divisors, whose sum is σ = 1712504747520. Its totient is φ = 128378483200.

The previous prime is 542803548533. The next prime is 542803548557. The reversal of 542803548540 is 45845308245.

It is a super-3 number, since 3×5428035485403 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 542803548540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3191371 + ... + 3357149.

It is an arithmetic number, because the mean of its divisors is an integer number (8919295560).

Almost surely, 2542803548540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542803548540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856252373760).

542803548540 is an abundant number, since it is smaller than the sum of its proper divisors (1169701198980).

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

542803548540 is a wasteful number, since it uses less digits than its factorization.

542803548540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165865 (or 165841 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 48.

The spelling of 542803548540 in words is "five hundred forty-two billion, eight hundred three million, five hundred forty-eight thousand, five hundred forty".