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494917496320 = 29513191276163
BaseRepresentation
bin1110011001110110110…
…00011010111000000000
31202022110122120202220111
413030323120122320000
531102042334340240
61015210103321104
750520342210352
oct7147330327000
91668418522814
10494917496320
1118099102a235
127bb02a50194
1337894193350
1419d502070d2
15cd198311ea
hex733b61ae00

494917496320 has 320 divisors, whose sum is σ = 1355993210880. Its totient is φ = 171729911808.

The previous prime is 494917496237. The next prime is 494917496321. The reversal of 494917496320 is 23694719494.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×4949174963203 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494917496321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80301559 + ... + 80307721.

It is an arithmetic number, because the mean of its divisors is an integer number (4237478784).

Almost surely, 2494917496320 is an apocalyptic number.

494917496320 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 494917496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677996605440).

494917496320 is an abundant number, since it is smaller than the sum of its proper divisors (861075714560).

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

494917496320 is a wasteful number, since it uses less digits than its factorization.

494917496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 494917496320 in words is "four hundred ninety-four billion, nine hundred seventeen million, four hundred ninety-six thousand, three hundred twenty".