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534421294848 = 2832729231241
BaseRepresentation
bin1111100011011011111…
…11011100111100000000
31220002102201221122221200
413301231333130330000
532223443322413343
61045302035021200
753416313024550
oct7615577347400
91802381848850
10534421294848
11196712985811
12876a873a800
133b51b4c076c
141bc1a92b160
15dd7c9a04d3
hex7c6dfdcf00

534421294848 has 972 divisors, whose sum is σ = 1930505011344. Its totient is φ = 139191091200.

The previous prime is 534421294837. The next prime is 534421294867. The reversal of 534421294848 is 848492124435.

534421294848 is a `hidden beast` number, since 5 + 34 + 4 + 2 + 129 + 484 + 8 = 666.

It is a super-2 number, since 2×5344212948482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 534421294794 and 534421294803.

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 107 ways as a sum of consecutive naturals, for example, 13034665708 + ... + 13034665748.

Almost surely, 2534421294848 is an apocalyptic number.

534421294848 is a gapful number since it is divisible by the number (58) 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 534421294848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965252505672).

534421294848 is an abundant number, since it is smaller than the sum of its proper divisors (1396083716496).

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

534421294848 is a wasteful number, since it uses less digits than its factorization.

534421294848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 113 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 534421294848 in words is "five hundred thirty-four billion, four hundred twenty-one million, two hundred ninety-four thousand, eight hundred forty-eight".