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542783420928 = 293472475683
BaseRepresentation
bin1111110011000000110…
…10011011101000000000
31220220000111202200110000
413321200122123220000
532343110023432203
61053203512240000
754133451645100
oct7714032335000
91826014680400
10542783420928
1119a2140aa911
12892410a0000
133c251a74268
141c3b133b200
15e1bbb7c4a3
hex7e6069ba00

542783420928 has 600 divisors, whose sum is σ = 1925001916992. Its totient is φ = 151754674176.

The previous prime is 542783420903. The next prime is 542783420939. The reversal of 542783420928 is 829024387245.

542783420928 is a `hidden beast` number, since 5 + 4 + 278 + 342 + 0 + 9 + 28 = 666.

It is a super-2 number, since 2×5427834209282 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95507175 + ... + 95512857.

Almost surely, 2542783420928 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 542783420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962500958496).

542783420928 is an abundant number, since it is smaller than the sum of its proper divisors (1382218496064).

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

542783420928 is an equidigital number, since it uses as much as digits as its factorization.

542783420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 542783420928 in words is "five hundred forty-two billion, seven hundred eighty-three million, four hundred twenty thousand, nine hundred twenty-eight".