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495058478479488 = 27367112313743127
BaseRepresentation
bin111000010010000001100100…
…0110000001011100010000000
32101220212010110120001002000000
41300210003020300023202000
51004342014230442320423
64512522420402000000
7206163536413161330
oct16044031060134200
92356763416032000
10495058478479488
11133817137a54500
1247635796946000
1318330a77a71111
148a36d5b4610c0
153c37919083843
hex1c240c8c0b880

495058478479488 has 5376 divisors, whose sum is σ = 2030945135493120. Its totient is φ = 117328567910400.

The previous prime is 495058478479421. The next prime is 495058478479501. The reversal of 495058478479488 is 884974874850594.

495058478479488 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 5 + 8 + 47 + 84 + 7 + 9 + 488 = 666.

It is a super-2 number, since 2×4950584784794882 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 495058478479398 and 495058478479407.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 3898098255681 + ... + 3898098255807.

It is an arithmetic number, because the mean of its divisors is an integer number (377779973120).

Almost surely, 2495058478479488 is an apocalyptic number.

495058478479488 is a gapful number since it is divisible by the number (48) 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 495058478479488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015472567746560).

495058478479488 is an abundant number, since it is smaller than the sum of its proper divisors (1535886657013632).

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

495058478479488 is a wasteful number, since it uses less digits than its factorization.

495058478479488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 104044953600, while the sum is 90.

The spelling of 495058478479488 in words is "four hundred ninety-five trillion, fifty-eight billion, four hundred seventy-eight million, four hundred seventy-nine thousand, four hundred eighty-eight".