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2483313822288 = 24321317247127769
BaseRepresentation
bin100100001000110001000…
…010011100101001010000
322210101212102001220112200
4210020301002130221100
5311141311314303123
65140452453323200
7344261555132115
oct44106102345120
98711772056480
102483313822288
11878192a04a72
12341348936500
131502387190c0
148829b96490c
15448e3c78143
hex2423109ca50

2483313822288 has 720 divisors, whose sum is σ = 8194328862720. Its totient is φ = 697398460416.

The previous prime is 2483313822107. The next prime is 2483313822307. The reversal of 2483313822288 is 8822283133842.

2483313822288 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 31 + 382 + 228 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3229276368 + ... + 3229277136.

Almost surely, 22483313822288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2483313822288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097164431360).

2483313822288 is an abundant number, since it is smaller than the sum of its proper divisors (5711015040432).

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

2483313822288 is a wasteful number, since it uses less digits than its factorization.

2483313822288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 978 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 2483313822288 in words is "two trillion, four hundred eighty-three billion, three hundred thirteen million, eight hundred twenty-two thousand, two hundred eighty-eight".