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424269768384 = 26327119565967
BaseRepresentation
bin1100010110010000111…
…00101110011011000000
31111120010002102100100100
412023020130232123000
523422401030042014
6522523513322400
742436541346150
oct6131034563300
91446102370310
10424269768384
11153a28250620
126a287106400
13310157abc37
141676b582760
15b082426009
hex62c872e6c0

424269768384 has 168 divisors, whose sum is σ = 1516167664128. Its totient is φ = 110199928320.

The previous prime is 424269768367. The next prime is 424269768397. The reversal of 424269768384 is 483867962424.

424269768384 is a `hidden beast` number, since 4 + 242 + 6 + 9 + 7 + 6 + 8 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×4242697683842 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 4738632 + ... + 4827335.

Almost surely, 2424269768384 is an apocalyptic number.

424269768384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424269768384 is an abundant number, since it is smaller than the sum of its proper divisors (1091897895744).

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

424269768384 is a wasteful number, since it uses less digits than its factorization.

424269768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566003 (or 9565990 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 424269768384 in words is "four hundred twenty-four billion, two hundred sixty-nine million, seven hundred sixty-eight thousand, three hundred eighty-four".