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484678545120 = 2532572112961353
BaseRepresentation
bin1110000110110010001…
…01111010111011100000
31201100001002012011100200
413003121011322323200
530420110201420440
61010354103145200
750005533441600
oct7033105727340
91640032164320
10484678545120
111776074486a0
1279b25a45200
1336921b31543
141965c442c00
15c91a9c2c30
hex70d917aee0

484678545120 has 1728 divisors, whose sum is σ = 2213132725440. Its totient is φ = 95374540800.

The previous prime is 484678545073. The next prime is 484678545121. The reversal of 484678545120 is 21545876484.

484678545120 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 78 + 54 + 512 + 0 = 666.

484678545120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484678545121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1373026864 + ... + 1373027216.

It is an arithmetic number, because the mean of its divisors is an integer number (1280748105).

Almost surely, 2484678545120 is an apocalyptic number.

484678545120 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 484678545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106566362720).

484678545120 is an abundant number, since it is smaller than the sum of its proper divisors (1728454180320).

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

484678545120 is a wasteful number, since it uses less digits than its factorization.

484678545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 484678545120 in words is "four hundred eighty-four billion, six hundred seventy-eight million, five hundred forty-five thousand, one hundred twenty".