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4818048480 = 2537572281
BaseRepresentation
bin1000111110010110…
…11001010111100000
3110102210000020000000
410133023121113200
534331410022410
62114031300000
7230252510400
oct43713312740
913383006000
104818048480
112052732153
12b2567a600
135ba25367b
14339c5a800
151d2eb4dc0
hex11f2d95e0

4818048480 has 576 divisors, whose sum is σ = 19929188160. Its totient is φ = 1097349120.

The previous prime is 4818048439. The next prime is 4818048541. The reversal of 4818048480 is 848408184.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17145940 + ... + 17146220.

It is an arithmetic number, because the mean of its divisors is an integer number (34599285).

Almost surely, 24818048480 is an apocalyptic number.

4818048480 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 4818048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9964594080).

4818048480 is an abundant number, since it is smaller than the sum of its proper divisors (15111139680).

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

4818048480 is an equidigital number, since it uses as much as digits as its factorization.

4818048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 4818048480 is about 69412.1637755228. The cubic root of 4818048480 is about 1688.9769469578.

The spelling of 4818048480 in words is "four billion, eight hundred eighteen million, forty-eight thousand, four hundred eighty".