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8483460480 = 27375111929
BaseRepresentation
bin1111110011010011…
…10101010110000000
3210220020010110000000
413321221311112000
5114333231213410
63521450000000
7420141136635
oct77151652600
923806113000
108483460480
113663768470
121789116000
13a52756c01
145a699618c
15349b97dc0
hex1f9a75580

8483460480 has 1024 divisors, whose sum is σ = 36132480000. Its totient is φ = 1881169920.

The previous prime is 8483460449. The next prime is 8483460539. The reversal of 8483460480 is 840643848.

8483460480 is a `hidden beast` number, since 8 + 4 + 8 + 34 + 604 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 292533106 + ... + 292533134.

It is an arithmetic number, because the mean of its divisors is an integer number (35285625).

Almost surely, 28483460480 is an apocalyptic number.

8483460480 is a gapful number since it is divisible by the number (80) 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 8483460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18066240000).

8483460480 is an abundant number, since it is smaller than the sum of its proper divisors (27649019520).

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

8483460480 is a wasteful number, since it uses less digits than its factorization.

8483460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 8483460480 is about 92105.7027550412. The cubic root of 8483460480 is about 2039.5029931105.

The spelling of 8483460480 in words is "eight billion, four hundred eighty-three million, four hundred sixty thousand, four hundred eighty".