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493039000000 = 2656793
BaseRepresentation
bin1110010110010110110…
…10100001100111000000
31202010121201212021101201
413023023122201213000
531034220441000000
61014255440510544
750422652231611
oct7131332414700
91663551767351
10493039000000
11180107731138
127b67991b454
1337654c4b471
1419c12939c08
15cc5996e96a
hex72cb6a19c0

493039000000 has 196 divisors, whose sum is σ = 1238631020320. Its totient is φ = 194719200000.

The previous prime is 493038999997. The next prime is 493039000009. The reversal of 493039000000 is 930394.

The cubic root of 493039000000 is 7900.

It is a perfect power (a cube), and thus also a powerful number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493039000009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6240999961 + ... + 6241000039.

Almost surely, 2493039000000 is an apocalyptic number.

493039000000 is a gapful number since it is divisible by the number (40) 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 493039000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619315510160).

493039000000 is an abundant number, since it is smaller than the sum of its proper divisors (745592020320).

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

493039000000 is an frugal number, since it uses more digits than its factorization.

493039000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 493039000000 its reverse (930394), we get a palindrome (493039930394).

The spelling of 493039000000 in words is "four hundred ninety-three billion, thirty-nine million", and thus it is an aban number.