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489811825440 = 253357171950147
BaseRepresentation
bin1110010000010110000…
…11110101001100100000
31201211021211100211011000
413020023003311030200
531011113311403230
61013003315152000
750246664551460
oct7101303651440
91654254324130
10489811825440
11179801008123
127ab18ba5600
133725c486a12
14199c80b9ba0
15cb1b4a4b60
hex720b0f5320

489811825440 has 768 divisors, whose sum is σ = 2183724748800. Its totient is φ = 99823435776.

The previous prime is 489811825417. The next prime is 489811825453. The reversal of 489811825440 is 44528118984.

489811825440 is a `hidden beast` number, since 4 + 8 + 9 + 8 + 11 + 82 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9742447 + ... + 9792593.

It is an arithmetic number, because the mean of its divisors is an integer number (2843391600).

Almost surely, 2489811825440 is an apocalyptic number.

489811825440 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 489811825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091862374400).

489811825440 is an abundant number, since it is smaller than the sum of its proper divisors (1693912923360).

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

489811825440 is a wasteful number, since it uses less digits than its factorization.

489811825440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50214 (or 50200 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 489811825440 in words is "four hundred eighty-nine billion, eight hundred eleven million, eight hundred twenty-five thousand, four hundred forty".