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484895458080 = 25365112174347
BaseRepresentation
bin1110000111001100000…
…01011000001100100000
31201100121012100111000000
413003212001120030200
530421031214124310
61010431412300000
750014106250105
oct7034601301440
91640535314000
10484895458080
11177708932600
1279b86611600
1336957a5aac7
141967d188aac
15c92ea6d4c0
hex70e6058320

484895458080 has 2016 divisors, whose sum is σ = 2088959507712. Its totient is φ = 105763553280.

The previous prime is 484895458079. The next prime is 484895458121. The reversal of 484895458080 is 80854598484.

484895458080 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 9 + 545 + 8 + 0 + 80 = 666.

It is a super-2 number, since 2×4848954580802 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 484895457999 and 484895458017.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 10316924617 + ... + 10316924663.

It is an arithmetic number, because the mean of its divisors is an integer number (1036190232).

Almost surely, 2484895458080 is an apocalyptic number.

484895458080 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 484895458080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044479753856).

484895458080 is an abundant number, since it is smaller than the sum of its proper divisors (1604064049632).

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

484895458080 is a wasteful number, since it uses less digits than its factorization.

484895458080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 484895458080 in words is "four hundred eighty-four billion, eight hundred ninety-five million, four hundred fifty-eight thousand, eighty".