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2485978387200 = 28345273113141
BaseRepresentation
bin100100001011001111110…
…110111101001100000000
322210122202002220211110000
4210023033312331030000
5311212240431342300
65142013120240000
7344414601432000
oct44131766751400
98718662824400
102485978387200
1187932aa99030
12341971170000
13150571776a29
14884717b2000
15449ecb5dc00
hex242cfdbd300

2485978387200 has 4320 divisors, whose sum is σ = 12365408563200. Its totient is φ = 487710720000.

The previous prime is 2485978387133. The next prime is 2485978387223. The reversal of 2485978387200 is 27838795842.

2485978387200 is a `hidden beast` number, since 2 + 4 + 8 + 597 + 8 + 38 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 60633619180 + ... + 60633619220.

Almost surely, 22485978387200 is an apocalyptic number.

2485978387200 is a gapful number since it is divisible by the number (20) 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 2485978387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182704281600).

2485978387200 is an abundant number, since it is smaller than the sum of its proper divisors (9879430176000).

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

2485978387200 is a wasteful number, since it uses less digits than its factorization.

2485978387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 2485978387200 in words is "two trillion, four hundred eighty-five billion, nine hundred seventy-eight million, three hundred eighty-seven thousand, two hundred".