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489934376568 = 23327133173173191
BaseRepresentation
bin1110010000100100101…
…11010100111001111000
31201211121100222001200200
413020102113110321320
531011341200022233
61013023414002200
750253013326420
oct7102227247170
91654540861620
10489934376568
1117986420164a
127ab52046360
133727b994b90
14199da49b480
15cb27111313
hex72125d4e78

489934376568 has 768 divisors, whose sum is σ = 1727765544960. Its totient is φ = 121977446400.

The previous prime is 489934376549. The next prime is 489934376611. The reversal of 489934376568 is 865673439984.

489934376568 is a `hidden beast` number, since 48 + 9 + 93 + 437 + 6 + 5 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 489934376496 and 489934376505.

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 191 ways as a sum of consecutive naturals, for example, 2565101353 + ... + 2565101543.

It is an arithmetic number, because the mean of its divisors is an integer number (2249694720).

Almost surely, 2489934376568 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 489934376568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863882772480).

489934376568 is an abundant number, since it is smaller than the sum of its proper divisors (1237831168392).

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

489934376568 is a wasteful number, since it uses less digits than its factorization.

489934376568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 493 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 489934376568 in words is "four hundred eighty-nine billion, nine hundred thirty-four million, three hundred seventy-six thousand, five hundred sixty-eight".