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493240264704 = 211351128191
BaseRepresentation
bin1110010110101110110…
…10010010100000000000
31202011010202120120200000
413023113122102200000
531040124001432304
61014331430400000
750430645034305
oct7132732224000
91664122516600
10493240264704
111802002a8300
127b715200000
13376878592c5
1419c3156b0ac
15cc6c478939
hex72d7692800

493240264704 has 432 divisors, whose sum is σ = 1624040570880. Its totient is φ = 149448499200.

The previous prime is 493240264663. The next prime is 493240264729. The reversal of 493240264704 is 407462042394.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 493240264704.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60213249 + ... + 60221439.

Almost surely, 2493240264704 is an apocalyptic number.

493240264704 is a gapful number since it is divisible by the number (44) 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 493240264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812020285440).

493240264704 is an abundant number, since it is smaller than the sum of its proper divisors (1130800306176).

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

493240264704 is an equidigital number, since it uses as much as digits as its factorization.

493240264704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8250 (or 8207 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 493240264704 in words is "four hundred ninety-three billion, two hundred forty million, two hundred sixty-four thousand, seven hundred four".