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8483045760 = 27345797241
BaseRepresentation
bin1111110011010000…
…10000000110000000
3210220012100101010000
413321220100012000
5114333124431020
63521433040000
7420134461560
oct77150200600
923805311100
108483045760
113663504922
121788b56000
13a52640207
145a68c8da0
15349b15090
hex1f9a10180

8483045760 has 640 divisors, whose sum is σ = 35124344640. Its totient is φ = 1911029760.

The previous prime is 8483045737. The next prime is 8483045807. The reversal of 8483045760 is 675403848.

8483045760 is a `hidden beast` number, since 8 + 48 + 30 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35199240 + ... + 35199480.

Almost surely, 28483045760 is an apocalyptic number.

8483045760 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 8483045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17562172320).

8483045760 is an abundant number, since it is smaller than the sum of its proper divisors (26641298880).

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

8483045760 is a wasteful number, since it uses less digits than its factorization.

8483045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8483045760 is about 92103.4514011283. The cubic root of 8483045760 is about 2039.4697583841.

The spelling of 8483045760 in words is "eight billion, four hundred eighty-three million, forty-five thousand, seven hundred sixty".