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494439603840 = 2735573132331
BaseRepresentation
bin1110011000111101110…
…01011001111010000000
31202021020100100022200000
413030132321121322000
531100103014310330
61015050432400000
750502450201000
oct7143671317200
91667210308600
10494439603840
111807662a2576
127b9aa9a6000
133781917ba30
1419d06968000
15ccdc8d3560
hex731ee59e80

494439603840 has 3072 divisors, whose sum is σ = 2395201536000. Its totient is φ = 96566722560.

The previous prime is 494439603803. The next prime is 494439603887. The reversal of 494439603840 is 48306934494.

494439603840 is a `hidden beast` number, since 49 + 443 + 96 + 0 + 38 + 40 = 666.

494439603840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4944396038402 (a number of 24 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 15949664625 + ... + 15949664655.

It is an arithmetic number, because the mean of its divisors is an integer number (779688000).

Almost surely, 2494439603840 is an apocalyptic number.

494439603840 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 494439603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197600768000).

494439603840 is an abundant number, since it is smaller than the sum of its proper divisors (1900761932160).

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

494439603840 is a wasteful number, since it uses less digits than its factorization.

494439603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 494439603840 in words is "four hundred ninety-four billion, four hundred thirty-nine million, six hundred three thousand, eight hundred forty".