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494797343040 = 263357211213743
BaseRepresentation
bin1110011001101000011…
…10000100100101000000
31202022011021111100121000
413030310032010211000
531101321104434130
61015150132132000
750514353010300
oct7146416044500
91668137440530
10494797343040
1118092a223300
127ba8a767000
1337875314730
1419d3c28b600
15cd0deea260
hex7334384940

494797343040 has 2016 divisors, whose sum is σ = 2406813454080. Its totient is φ = 94778449920.

The previous prime is 494797343023. The next prime is 494797343059. The reversal of 494797343040 is 40343797494.

494797343040 is a `hidden beast` number, since 49 + 47 + 97 + 3 + 430 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 665944909 + ... + 665945651.

It is an arithmetic number, because the mean of its divisors is an integer number (1193855880).

Almost surely, 2494797343040 is an apocalyptic number.

494797343040 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 494797343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203406727040).

494797343040 is an abundant number, since it is smaller than the sum of its proper divisors (1912016111040).

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

494797343040 is a wasteful number, since it uses less digits than its factorization.

494797343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 494797343040 in words is "four hundred ninety-four billion, seven hundred ninety-seven million, three hundred forty-three thousand, forty".