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488249640288 = 25323759672173
BaseRepresentation
bin1110001101011011111…
…00100100010101100000
31201200020221211120222200
413012231330210111200
530444413401442123
61012144312133200
750163165316014
oct7065574442540
91650227746880
10488249640288
1117907a214313
127a761997200
1337070930cc7
14198ba82a544
15ca79275143
hex71adf24560

488249640288 has 432 divisors, whose sum is σ = 1480631639760. Its totient is φ = 152457541632.

The previous prime is 488249640269. The next prime is 488249640299. The reversal of 488249640288 is 882046942884.

488249640288 is a `hidden beast` number, since 4 + 8 + 82 + 496 + 40 + 28 + 8 = 666.

It is a super-2 number, since 2×4882496402882 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2822252170 + ... + 2822252342.

It is an arithmetic number, because the mean of its divisors is an integer number (3427388055).

Almost surely, 2488249640288 is an apocalyptic number.

488249640288 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 488249640288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740315819880).

488249640288 is an abundant number, since it is smaller than the sum of its proper divisors (992381999472).

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

488249640288 is a wasteful number, since it uses less digits than its factorization.

488249640288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 488249640288 in words is "four hundred eighty-eight billion, two hundred forty-nine million, six hundred forty thousand, two hundred eighty-eight".