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480299633856 = 26337231414463
BaseRepresentation
bin1101111110101000001…
…01101100110011000000
31200220201220111102101000
412333110011230303000
530332123201240411
61004351400012000
746462162345500
oct6772405546300
91626656442330
10480299633856
1117576a692869
1279103461000
13363a48733a3
1419364a57a00
15c761352956
hex6fd416ccc0

480299633856 has 672 divisors, whose sum is σ = 1737248808960. Its totient is φ = 129533644800.

The previous prime is 480299633851. The next prime is 480299633893. The reversal of 480299633856 is 658336992084.

480299633856 is a `hidden beast` number, since 4 + 8 + 0 + 299 + 6 + 338 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4802996338562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 480299633793 and 480299633802.

It is not an unprimeable number, because it can be changed into a prime (480299633851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107615881 + ... + 107620343.

It is an arithmetic number, because the mean of its divisors is an integer number (2585191680).

Almost surely, 2480299633856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480299633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868624404480).

480299633856 is an abundant number, since it is smaller than the sum of its proper divisors (1256949175104).

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

480299633856 is a wasteful number, since it uses less digits than its factorization.

480299633856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 480299633856 in words is "four hundred eighty billion, two hundred ninety-nine million, six hundred thirty-three thousand, eight hundred fifty-six".