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486498493440 = 2103451497873
BaseRepresentation
bin1110001010001011001…
…00011110010000000000
31201111201220202010010000
413011011210132100000
530432322103242230
61011254435040000
750101612651431
oct7050544362000
91644656663100
10486498493440
11178360797813
127a353440000
1336b51bb733b
141979202d488
15c9c566bb60
hex714591e400

486498493440 has 440 divisors, whose sum is σ = 1755258694200. Its totient is φ = 128845873152.

The previous prime is 486498493427. The next prime is 486498493489. The reversal of 486498493440 is 44394894684.

486498493440 is a `hidden beast` number, since 4 + 8 + 64 + 98 + 49 + 3 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19430129664 + 467068363776 = 139392^2 + 683424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61789344 + ... + 61797216.

It is an arithmetic number, because the mean of its divisors is an integer number (3989224305).

Almost surely, 2486498493440 is an apocalyptic number.

486498493440 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 486498493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877629347100).

486498493440 is an abundant number, since it is smaller than the sum of its proper divisors (1268760200760).

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

486498493440 is a wasteful number, since it uses less digits than its factorization.

486498493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8032 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 486498493440 in words is "four hundred eighty-six billion, four hundred ninety-eight million, four hundred ninety-three thousand, four hundred forty".