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493053950592 = 27327414379439
BaseRepresentation
bin1110010110011000100…
…11100011101010000000
31202010122202222211202100
413023030103203222000
531034233302404332
61014301133150400
750423223300420
oct7131423435200
91663582884670
10493053950592
111801151127a5
127b68292b400
1337658084478
1419c1490c480
15cc5ae2467c
hex72cc4e3a80

493053950592 has 768 divisors, whose sum is σ = 1725115392000. Its totient is φ = 132239278080.

The previous prime is 493053950567. The next prime is 493053950603. The reversal of 493053950592 is 295059350394.

It is a happy number.

493053950592 is a `hidden beast` number, since 4 + 9 + 3 + 0 + 539 + 50 + 59 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1123129509 + ... + 1123129947.

It is an arithmetic number, because the mean of its divisors is an integer number (2246244000).

Almost surely, 2493053950592 is an apocalyptic number.

493053950592 is a gapful number since it is divisible by the number (42) 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 493053950592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862557696000).

493053950592 is an abundant number, since it is smaller than the sum of its proper divisors (1232061441408).

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

493053950592 is a wasteful number, since it uses less digits than its factorization.

493053950592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 6561000, while the sum is 54.

The spelling of 493053950592 in words is "four hundred ninety-three billion, fifty-three million, nine hundred fifty thousand, five hundred ninety-two".